Home / 217,564-461,228

Finding the Third Proportional to 217,564 and 461,228

Calculator

Solution

The third proportional to 217,564 and 461,228 is: 977,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,564 : 461,228 = 461,228 : x
  2. Step 2: Convert to fraction form
    217,564/461,228 = 461,228/x
  3. Step 3: Cross multiply
    217,564x = 461,228 × 461,228
  4. Step 4: Simplify right side
    217,564x = 212,731,267,984
  5. Step 5: Solve for x
    x = 212,731,267,984/217,564
  6. Step 6: Final answer
    x = 977,787.08

Related Problems

Find third proportional to 108,782 and 230,614
Half scale
Find third proportional to 435,128 and 922,456
Double scale
Find third proportional to 217,566 and 461,232
Similar ratio
Find third proportional to 326,346 and 691,842
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.