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Finding the Third Proportional to 43,002 and 66,419

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Solution

The third proportional to 43,002 and 66,419 is: 102,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,002 : 66,419 = 66,419 : x
  2. Step 2: Convert to fraction form
    43,002/66,419 = 66,419/x
  3. Step 3: Cross multiply
    43,002x = 66,419 × 66,419
  4. Step 4: Simplify right side
    43,002x = 4,411,483,561
  5. Step 5: Solve for x
    x = 4,411,483,561/43,002
  6. Step 6: Final answer
    x = 102,587.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.