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Finding the Third Proportional to 42,305 and 66,939

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Solution

The third proportional to 42,305 and 66,939 is: 105,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,305 : 66,939 = 66,939 : x
  2. Step 2: Convert to fraction form
    42,305/66,939 = 66,939/x
  3. Step 3: Cross multiply
    42,305x = 66,939 × 66,939
  4. Step 4: Simplify right side
    42,305x = 4,480,829,721
  5. Step 5: Solve for x
    x = 4,480,829,721/42,305
  6. Step 6: Final answer
    x = 105,917.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.