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Finding the Third Proportional to 388,755 and 580,132

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Solution

The third proportional to 388,755 and 580,132 is: 865,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,755 : 580,132 = 580,132 : x
  2. Step 2: Convert to fraction form
    388,755/580,132 = 580,132/x
  3. Step 3: Cross multiply
    388,755x = 580,132 × 580,132
  4. Step 4: Simplify right side
    388,755x = 336,553,137,424
  5. Step 5: Solve for x
    x = 336,553,137,424/388,755
  6. Step 6: Final answer
    x = 865,720.41

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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.