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Finding the Third Proportional to 51,730 and 80,128

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Solution

The third proportional to 51,730 and 80,128 is: 124,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,730 : 80,128 = 80,128 : x
  2. Step 2: Convert to fraction form
    51,730/80,128 = 80,128/x
  3. Step 3: Cross multiply
    51,730x = 80,128 × 80,128
  4. Step 4: Simplify right side
    51,730x = 6,420,496,384
  5. Step 5: Solve for x
    x = 6,420,496,384/51,730
  6. Step 6: Final answer
    x = 124,115.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.