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Finding the Third Proportional to 51,306 and 126,531

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Solution

The third proportional to 51,306 and 126,531 is: 312,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,306 : 126,531 = 126,531 : x
  2. Step 2: Convert to fraction form
    51,306/126,531 = 126,531/x
  3. Step 3: Cross multiply
    51,306x = 126,531 × 126,531
  4. Step 4: Simplify right side
    51,306x = 16,010,093,961
  5. Step 5: Solve for x
    x = 16,010,093,961/51,306
  6. Step 6: Final answer
    x = 312,051.10

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.