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Finding the Third Proportional to 51,419.50 and 77,677

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Solution

The third proportional to 51,419.50 and 77,677 is: 117,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,419.50 : 77,677 = 77,677 : x
  2. Step 2: Convert to fraction form
    51,419.50/77,677 = 77,677/x
  3. Step 3: Cross multiply
    51,419.50x = 77,677 × 77,677
  4. Step 4: Simplify right side
    51,419.50x = 6,033,716,329
  5. Step 5: Solve for x
    x = 6,033,716,329/51,419.50
  6. Step 6: Final answer
    x = 117,342.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.