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Finding the Third Proportional to 388,402.50 and 580,983

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Solution

The third proportional to 388,402.50 and 580,983 is: 869,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,402.50 : 580,983 = 580,983 : x
  2. Step 2: Convert to fraction form
    388,402.50/580,983 = 580,983/x
  3. Step 3: Cross multiply
    388,402.50x = 580,983 × 580,983
  4. Step 4: Simplify right side
    388,402.50x = 337,541,246,289
  5. Step 5: Solve for x
    x = 337,541,246,289/388,402.50
  6. Step 6: Final answer
    x = 869,050.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.