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Finding the Third Proportional to 58,603.50 and 81,387

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Solution

The third proportional to 58,603.50 and 81,387 is: 113,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,603.50 : 81,387 = 81,387 : x
  2. Step 2: Convert to fraction form
    58,603.50/81,387 = 81,387/x
  3. Step 3: Cross multiply
    58,603.50x = 81,387 × 81,387
  4. Step 4: Simplify right side
    58,603.50x = 6,623,843,769
  5. Step 5: Solve for x
    x = 6,623,843,769/58,603.50
  6. Step 6: Final answer
    x = 113,028.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.