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Finding the Third Proportional to 217,801.41 and 319,558.92

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Solution

The third proportional to 217,801.41 and 319,558.92 is: 468,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,801.41 : 319,558.92 = 319,558.92 : x
  2. Step 2: Convert to fraction form
    217,801.41/319,558.92 = 319,558.92/x
  3. Step 3: Cross multiply
    217,801.41x = 319,558.92 × 319,558.92
  4. Step 4: Simplify right side
    217,801.41x = 102,117,904,549.91
  5. Step 5: Solve for x
    x = 102,117,904,549.91/217,801.41
  6. Step 6: Final answer
    x = 468,857.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.