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Finding the Third Proportional to 51,080 and 82,020

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Solution

The third proportional to 51,080 and 82,020 is: 131,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,080 : 82,020 = 82,020 : x
  2. Step 2: Convert to fraction form
    51,080/82,020 = 82,020/x
  3. Step 3: Cross multiply
    51,080x = 82,020 × 82,020
  4. Step 4: Simplify right side
    51,080x = 6,727,280,400
  5. Step 5: Solve for x
    x = 6,727,280,400/51,080
  6. Step 6: Final answer
    x = 131,700.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.