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Finding the Third Proportional to 48,420 and 66,677

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Solution

The third proportional to 48,420 and 66,677 is: 91,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,420 : 66,677 = 66,677 : x
  2. Step 2: Convert to fraction form
    48,420/66,677 = 66,677/x
  3. Step 3: Cross multiply
    48,420x = 66,677 × 66,677
  4. Step 4: Simplify right side
    48,420x = 4,445,822,329
  5. Step 5: Solve for x
    x = 4,445,822,329/48,420
  6. Step 6: Final answer
    x = 91,817.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.