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Finding the Third Proportional to 42,732 and 66,338.44

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Solution

The third proportional to 42,732 and 66,338.44 is: 102,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,732 : 66,338.44 = 66,338.44 : x
  2. Step 2: Convert to fraction form
    42,732/66,338.44 = 66,338.44/x
  3. Step 3: Cross multiply
    42,732x = 66,338.44 × 66,338.44
  4. Step 4: Simplify right side
    42,732x = 4,400,788,289.94
  5. Step 5: Solve for x
    x = 4,400,788,289.94/42,732
  6. Step 6: Final answer
    x = 102,985.78

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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.