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Finding the Third Proportional to 31,765 and 67,750

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Solution

The third proportional to 31,765 and 67,750 is: 144,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765 : 67,750 = 67,750 : x
  2. Step 2: Convert to fraction form
    31,765/67,750 = 67,750/x
  3. Step 3: Cross multiply
    31,765x = 67,750 × 67,750
  4. Step 4: Simplify right side
    31,765x = 4,590,062,500
  5. Step 5: Solve for x
    x = 4,590,062,500/31,765
  6. Step 6: Final answer
    x = 144,500.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.