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Finding the Third Proportional to 251,639.13 and 381,123.38

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Solution

The third proportional to 251,639.13 and 381,123.38 is: 577,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,639.13 : 381,123.38 = 381,123.38 : x
  2. Step 2: Convert to fraction form
    251,639.13/381,123.38 = 381,123.38/x
  3. Step 3: Cross multiply
    251,639.13x = 381,123.38 × 381,123.38
  4. Step 4: Simplify right side
    251,639.13x = 145,255,026,971.39
  5. Step 5: Solve for x
    x = 145,255,026,971.39/251,639.13
  6. Step 6: Final answer
    x = 577,235.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.