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Finding the Third Proportional to 31,500.77 and 68,011.29

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Solution

The third proportional to 31,500.77 and 68,011.29 is: 146,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.77 : 68,011.29 = 68,011.29 : x
  2. Step 2: Convert to fraction form
    31,500.77/68,011.29 = 68,011.29/x
  3. Step 3: Cross multiply
    31,500.77x = 68,011.29 × 68,011.29
  4. Step 4: Simplify right side
    31,500.77x = 4,625,535,041.44
  5. Step 5: Solve for x
    x = 4,625,535,041.44/31,500.77
  6. Step 6: Final answer
    x = 146,838.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.