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Finding the Third Proportional to 611,420 and 815,448

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Solution

The third proportional to 611,420 and 815,448 is: 1,087,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,420 : 815,448 = 815,448 : x
  2. Step 2: Convert to fraction form
    611,420/815,448 = 815,448/x
  3. Step 3: Cross multiply
    611,420x = 815,448 × 815,448
  4. Step 4: Simplify right side
    611,420x = 664,955,440,704
  5. Step 5: Solve for x
    x = 664,955,440,704/611,420
  6. Step 6: Final answer
    x = 1,087,559.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.