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Finding the Third Proportional to 205,347 and 432,930

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Solution

The third proportional to 205,347 and 432,930 is: 912,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,347 : 432,930 = 432,930 : x
  2. Step 2: Convert to fraction form
    205,347/432,930 = 432,930/x
  3. Step 3: Cross multiply
    205,347x = 432,930 × 432,930
  4. Step 4: Simplify right side
    205,347x = 187,428,384,900
  5. Step 5: Solve for x
    x = 187,428,384,900/205,347
  6. Step 6: Final answer
    x = 912,739.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.