Home / 146,313-213,894

Finding the Third Proportional to 146,313 and 213,894

Calculator

Solution

The third proportional to 146,313 and 213,894 is: 312,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,313 : 213,894 = 213,894 : x
  2. Step 2: Convert to fraction form
    146,313/213,894 = 213,894/x
  3. Step 3: Cross multiply
    146,313x = 213,894 × 213,894
  4. Step 4: Simplify right side
    146,313x = 45,750,643,236
  5. Step 5: Solve for x
    x = 45,750,643,236/146,313
  6. Step 6: Final answer
    x = 312,690.21

Related Problems

Find third proportional to 73,156.50 and 106,947
Half scale
Find third proportional to 292,626 and 427,788
Double scale
Find third proportional to 146,315 and 213,897
Similar ratio
Find third proportional to 219,469.50 and 320,841
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.