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Finding the Third Proportional to 206,641.13 and 315,889.88

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Solution

The third proportional to 206,641.13 and 315,889.88 is: 482,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,641.13 : 315,889.88 = 315,889.88 : x
  2. Step 2: Convert to fraction form
    206,641.13/315,889.88 = 315,889.88/x
  3. Step 3: Cross multiply
    206,641.13x = 315,889.88 × 315,889.88
  4. Step 4: Simplify right side
    206,641.13x = 99,786,413,127.52
  5. Step 5: Solve for x
    x = 99,786,413,127.52/206,641.13
  6. Step 6: Final answer
    x = 482,897.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.