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Finding the Third Proportional to 51,982 and 80,457

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Solution

The third proportional to 51,982 and 80,457 is: 124,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982 : 80,457 = 80,457 : x
  2. Step 2: Convert to fraction form
    51,982/80,457 = 80,457/x
  3. Step 3: Cross multiply
    51,982x = 80,457 × 80,457
  4. Step 4: Simplify right side
    51,982x = 6,473,328,849
  5. Step 5: Solve for x
    x = 6,473,328,849/51,982
  6. Step 6: Final answer
    x = 124,530.20

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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.