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Finding the Third Proportional to 200,488 and 432,317

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Solution

The third proportional to 200,488 and 432,317 is: 932,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,488 : 432,317 = 432,317 : x
  2. Step 2: Convert to fraction form
    200,488/432,317 = 432,317/x
  3. Step 3: Cross multiply
    200,488x = 432,317 × 432,317
  4. Step 4: Simplify right side
    200,488x = 186,897,988,489
  5. Step 5: Solve for x
    x = 186,897,988,489/200,488
  6. Step 6: Final answer
    x = 932,215.34

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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.