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Finding the Third Proportional to 199,127.50 and 315,463

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Solution

The third proportional to 199,127.50 and 315,463 is: 499,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,127.50 : 315,463 = 315,463 : x
  2. Step 2: Convert to fraction form
    199,127.50/315,463 = 315,463/x
  3. Step 3: Cross multiply
    199,127.50x = 315,463 × 315,463
  4. Step 4: Simplify right side
    199,127.50x = 99,516,904,369
  5. Step 5: Solve for x
    x = 99,516,904,369/199,127.50
  6. Step 6: Final answer
    x = 499,764.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.