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Finding the Third Proportional to 200,721 and 432,775

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Solution

The third proportional to 200,721 and 432,775 is: 933,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,721 : 432,775 = 432,775 : x
  2. Step 2: Convert to fraction form
    200,721/432,775 = 432,775/x
  3. Step 3: Cross multiply
    200,721x = 432,775 × 432,775
  4. Step 4: Simplify right side
    200,721x = 187,294,200,625
  5. Step 5: Solve for x
    x = 187,294,200,625/200,721
  6. Step 6: Final answer
    x = 933,107.15

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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.