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Finding the Third Proportional to 81,874.50 and 130,193.63

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Solution

The third proportional to 81,874.50 and 130,193.63 is: 207,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.50 : 130,193.63 = 130,193.63 : x
  2. Step 2: Convert to fraction form
    81,874.50/130,193.63 = 130,193.63/x
  3. Step 3: Cross multiply
    81,874.50x = 130,193.63 × 130,193.63
  4. Step 4: Simplify right side
    81,874.50x = 16,950,379,990.64
  5. Step 5: Solve for x
    x = 16,950,379,990.64/81,874.50
  6. Step 6: Final answer
    x = 207,028.81

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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.