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Finding the Third Proportional to 388,753 and 580,129

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Solution

The third proportional to 388,753 and 580,129 is: 865,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,753 : 580,129 = 580,129 : x
  2. Step 2: Convert to fraction form
    388,753/580,129 = 580,129/x
  3. Step 3: Cross multiply
    388,753x = 580,129 × 580,129
  4. Step 4: Simplify right side
    388,753x = 336,549,656,641
  5. Step 5: Solve for x
    x = 336,549,656,641/388,753
  6. Step 6: Final answer
    x = 865,715.91

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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.