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Finding the Third Proportional to 251,272.13 and 388,572.56

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Solution

The third proportional to 251,272.13 and 388,572.56 is: 600,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,272.13 : 388,572.56 = 388,572.56 : x
  2. Step 2: Convert to fraction form
    251,272.13/388,572.56 = 388,572.56/x
  3. Step 3: Cross multiply
    251,272.13x = 388,572.56 × 388,572.56
  4. Step 4: Simplify right side
    251,272.13x = 150,988,636,327.82
  5. Step 5: Solve for x
    x = 150,988,636,327.82/251,272.13
  6. Step 6: Final answer
    x = 600,896.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.