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Finding the Third Proportional to 388,138.50 and 534,475.13

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Solution

The third proportional to 388,138.50 and 534,475.13 is: 735,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,138.50 : 534,475.13 = 534,475.13 : x
  2. Step 2: Convert to fraction form
    388,138.50/534,475.13 = 534,475.13/x
  3. Step 3: Cross multiply
    388,138.50x = 534,475.13 × 534,475.13
  4. Step 4: Simplify right side
    388,138.50x = 285,663,659,243.77
  5. Step 5: Solve for x
    x = 285,663,659,243.77/388,138.50
  6. Step 6: Final answer
    x = 735,983.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.