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Finding the Third Proportional to 424,694 and 915,808

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Solution

The third proportional to 424,694 and 915,808 is: 1,974,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,694 : 915,808 = 915,808 : x
  2. Step 2: Convert to fraction form
    424,694/915,808 = 915,808/x
  3. Step 3: Cross multiply
    424,694x = 915,808 × 915,808
  4. Step 4: Simplify right side
    424,694x = 838,704,292,864
  5. Step 5: Solve for x
    x = 838,704,292,864/424,694
  6. Step 6: Final answer
    x = 1,974,843.75

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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.