Home / 212,947-469,102.25

Finding the Third Proportional to 212,947 and 469,102.25

Calculator

Solution

The third proportional to 212,947 and 469,102.25 is: 1,033,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,947 : 469,102.25 = 469,102.25 : x
  2. Step 2: Convert to fraction form
    212,947/469,102.25 = 469,102.25/x
  3. Step 3: Cross multiply
    212,947x = 469,102.25 × 469,102.25
  4. Step 4: Simplify right side
    212,947x = 220,056,920,955.06
  5. Step 5: Solve for x
    x = 220,056,920,955.06/212,947
  6. Step 6: Final answer
    x = 1,033,388.22

Related Problems

Find third proportional to 106,473.50 and 234,551.13
Half scale
Find third proportional to 425,894 and 938,204.50
Double scale
Find third proportional to 212,949 and 469,107
Similar ratio
Find third proportional to 319,420.50 and 703,653.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.