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Finding the Third Proportional to 71,385.05 and 99,235.13

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Solution

The third proportional to 71,385.05 and 99,235.13 is: 137,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,385.05 : 99,235.13 = 99,235.13 : x
  2. Step 2: Convert to fraction form
    71,385.05/99,235.13 = 99,235.13/x
  3. Step 3: Cross multiply
    71,385.05x = 99,235.13 × 99,235.13
  4. Step 4: Simplify right side
    71,385.05x = 9,847,610,033.77
  5. Step 5: Solve for x
    x = 9,847,610,033.77/71,385.05
  6. Step 6: Final answer
    x = 137,950.60

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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.