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Finding the Third Proportional to 388,758 and 580,134

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Solution

The third proportional to 388,758 and 580,134 is: 865,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,758 : 580,134 = 580,134 : x
  2. Step 2: Convert to fraction form
    388,758/580,134 = 580,134/x
  3. Step 3: Cross multiply
    388,758x = 580,134 × 580,134
  4. Step 4: Simplify right side
    388,758x = 336,555,457,956
  5. Step 5: Solve for x
    x = 336,555,457,956/388,758
  6. Step 6: Final answer
    x = 865,719.70

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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.