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Finding the Third Proportional to 371,634 and 815,448

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Solution

The third proportional to 371,634 and 815,448 is: 1,789,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,634 : 815,448 = 815,448 : x
  2. Step 2: Convert to fraction form
    371,634/815,448 = 815,448/x
  3. Step 3: Cross multiply
    371,634x = 815,448 × 815,448
  4. Step 4: Simplify right side
    371,634x = 664,955,440,704
  5. Step 5: Solve for x
    x = 664,955,440,704/371,634
  6. Step 6: Final answer
    x = 1,789,275.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.