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Finding the Third Proportional to 58,539.38 and 138,143.81

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Solution

The third proportional to 58,539.38 and 138,143.81 is: 325,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,539.38 : 138,143.81 = 138,143.81 : x
  2. Step 2: Convert to fraction form
    58,539.38/138,143.81 = 138,143.81/x
  3. Step 3: Cross multiply
    58,539.38x = 138,143.81 × 138,143.81
  4. Step 4: Simplify right side
    58,539.38x = 19,083,712,932.04
  5. Step 5: Solve for x
    x = 19,083,712,932.04/58,539.38
  6. Step 6: Final answer
    x = 325,997.89

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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.