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Finding the Third Proportional to 42,849 and 66,987

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Solution

The third proportional to 42,849 and 66,987 is: 104,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,849 : 66,987 = 66,987 : x
  2. Step 2: Convert to fraction form
    42,849/66,987 = 66,987/x
  3. Step 3: Cross multiply
    42,849x = 66,987 × 66,987
  4. Step 4: Simplify right side
    42,849x = 4,487,258,169
  5. Step 5: Solve for x
    x = 4,487,258,169/42,849
  6. Step 6: Final answer
    x = 104,722.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.