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Finding the Third Proportional to 81,874.69 and 130,193.44

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Solution

The third proportional to 81,874.69 and 130,193.44 is: 207,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.69 : 130,193.44 = 130,193.44 : x
  2. Step 2: Convert to fraction form
    81,874.69/130,193.44 = 130,193.44/x
  3. Step 3: Cross multiply
    81,874.69x = 130,193.44 × 130,193.44
  4. Step 4: Simplify right side
    81,874.69x = 16,950,331,168.07
  5. Step 5: Solve for x
    x = 16,950,331,168.07/81,874.69
  6. Step 6: Final answer
    x = 207,027.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.