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Finding the Third Proportional to 431,508 and 917,448

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Solution

The third proportional to 431,508 and 917,448 is: 1,950,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,508 : 917,448 = 917,448 : x
  2. Step 2: Convert to fraction form
    431,508/917,448 = 917,448/x
  3. Step 3: Cross multiply
    431,508x = 917,448 × 917,448
  4. Step 4: Simplify right side
    431,508x = 841,710,832,704
  5. Step 5: Solve for x
    x = 841,710,832,704/431,508
  6. Step 6: Final answer
    x = 1,950,626.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.