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Finding the Third Proportional to 42,999 and 66,443

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Solution

The third proportional to 42,999 and 66,443 is: 102,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,999 : 66,443 = 66,443 : x
  2. Step 2: Convert to fraction form
    42,999/66,443 = 66,443/x
  3. Step 3: Cross multiply
    42,999x = 66,443 × 66,443
  4. Step 4: Simplify right side
    42,999x = 4,414,672,249
  5. Step 5: Solve for x
    x = 4,414,672,249/42,999
  6. Step 6: Final answer
    x = 102,669.18

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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.