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Finding the Third Proportional to 42,997 and 66,440

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Solution

The third proportional to 42,997 and 66,440 is: 102,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,997 : 66,440 = 66,440 : x
  2. Step 2: Convert to fraction form
    42,997/66,440 = 66,440/x
  3. Step 3: Cross multiply
    42,997x = 66,440 × 66,440
  4. Step 4: Simplify right side
    42,997x = 4,414,273,600
  5. Step 5: Solve for x
    x = 4,414,273,600/42,997
  6. Step 6: Final answer
    x = 102,664.69

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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.