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Finding the Third Proportional to 51,351 and 68,687

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Solution

The third proportional to 51,351 and 68,687 is: 91,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,351 : 68,687 = 68,687 : x
  2. Step 2: Convert to fraction form
    51,351/68,687 = 68,687/x
  3. Step 3: Cross multiply
    51,351x = 68,687 × 68,687
  4. Step 4: Simplify right side
    51,351x = 4,717,903,969
  5. Step 5: Solve for x
    x = 4,717,903,969/51,351
  6. Step 6: Final answer
    x = 91,875.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.