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Finding the Third Proportional to 204,132 and 432,972

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Solution

The third proportional to 204,132 and 432,972 is: 918,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,132 : 432,972 = 432,972 : x
  2. Step 2: Convert to fraction form
    204,132/432,972 = 432,972/x
  3. Step 3: Cross multiply
    204,132x = 432,972 × 432,972
  4. Step 4: Simplify right side
    204,132x = 187,464,752,784
  5. Step 5: Solve for x
    x = 187,464,752,784/204,132
  6. Step 6: Final answer
    x = 918,350.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.