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Finding the Third Proportional to 388,747.79 and 580,123.11

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Solution

The third proportional to 388,747.79 and 580,123.11 is: 865,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,747.79 : 580,123.11 = 580,123.11 : x
  2. Step 2: Convert to fraction form
    388,747.79/580,123.11 = 580,123.11/x
  3. Step 3: Cross multiply
    388,747.79x = 580,123.11 × 580,123.11
  4. Step 4: Simplify right side
    388,747.79x = 336,542,819,764.84
  5. Step 5: Solve for x
    x = 336,542,819,764.84/388,747.79
  6. Step 6: Final answer
    x = 865,709.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.