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Finding the Third Proportional to 431,513 and 917,458

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Solution

The third proportional to 431,513 and 917,458 is: 1,950,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,513 : 917,458 = 917,458 : x
  2. Step 2: Convert to fraction form
    431,513/917,458 = 917,458/x
  3. Step 3: Cross multiply
    431,513x = 917,458 × 917,458
  4. Step 4: Simplify right side
    431,513x = 841,729,181,764
  5. Step 5: Solve for x
    x = 841,729,181,764/431,513
  6. Step 6: Final answer
    x = 1,950,646.17

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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.