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Finding the Third Proportional to 42,861 and 66,627

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Solution

The third proportional to 42,861 and 66,627 is: 103,571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,861 : 66,627 = 66,627 : x
  2. Step 2: Convert to fraction form
    42,861/66,627 = 66,627/x
  3. Step 3: Cross multiply
    42,861x = 66,627 × 66,627
  4. Step 4: Simplify right side
    42,861x = 4,439,157,129
  5. Step 5: Solve for x
    x = 4,439,157,129/42,861
  6. Step 6: Final answer
    x = 103,571.01

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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.