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Finding the Third Proportional to 431,510 and 917,452

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Solution

The third proportional to 431,510 and 917,452 is: 1,950,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,510 : 917,452 = 917,452 : x
  2. Step 2: Convert to fraction form
    431,510/917,452 = 917,452/x
  3. Step 3: Cross multiply
    431,510x = 917,452 × 917,452
  4. Step 4: Simplify right side
    431,510x = 841,718,172,304
  5. Step 5: Solve for x
    x = 841,718,172,304/431,510
  6. Step 6: Final answer
    x = 1,950,634.22

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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.