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Finding the Third Proportional to 424,332 and 915,080

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Solution

The third proportional to 424,332 and 915,080 is: 1,973,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,332 : 915,080 = 915,080 : x
  2. Step 2: Convert to fraction form
    424,332/915,080 = 915,080/x
  3. Step 3: Cross multiply
    424,332x = 915,080 × 915,080
  4. Step 4: Simplify right side
    424,332x = 837,371,406,400
  5. Step 5: Solve for x
    x = 837,371,406,400/424,332
  6. Step 6: Final answer
    x = 1,973,387.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.