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Finding the Third Proportional to 431,496 and 917,424

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Solution

The third proportional to 431,496 and 917,424 is: 1,950,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,496 : 917,424 = 917,424 : x
  2. Step 2: Convert to fraction form
    431,496/917,424 = 917,424/x
  3. Step 3: Cross multiply
    431,496x = 917,424 × 917,424
  4. Step 4: Simplify right side
    431,496x = 841,666,795,776
  5. Step 5: Solve for x
    x = 841,666,795,776/431,496
  6. Step 6: Final answer
    x = 1,950,578.44

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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.