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Finding the Third Proportional to 205,576.13 and 316,390.13

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Solution

The third proportional to 205,576.13 and 316,390.13 is: 486,937.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,576.13 : 316,390.13 = 316,390.13 : x
  2. Step 2: Convert to fraction form
    205,576.13/316,390.13 = 316,390.13/x
  3. Step 3: Cross multiply
    205,576.13x = 316,390.13 × 316,390.13
  4. Step 4: Simplify right side
    205,576.13x = 100,102,711,197.52
  5. Step 5: Solve for x
    x = 100,102,711,197.52/205,576.13
  6. Step 6: Final answer
    x = 486,937.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.