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Finding the Third Proportional to 58,778.50 and 138,731

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Solution

The third proportional to 58,778.50 and 138,731 is: 327,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,778.50 : 138,731 = 138,731 : x
  2. Step 2: Convert to fraction form
    58,778.50/138,731 = 138,731/x
  3. Step 3: Cross multiply
    58,778.50x = 138,731 × 138,731
  4. Step 4: Simplify right side
    58,778.50x = 19,246,290,361
  5. Step 5: Solve for x
    x = 19,246,290,361/58,778.50
  6. Step 6: Final answer
    x = 327,437.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.