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Finding the Third Proportional to 42,810 and 62,975

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Solution

The third proportional to 42,810 and 62,975 is: 92,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,810 : 62,975 = 62,975 : x
  2. Step 2: Convert to fraction form
    42,810/62,975 = 62,975/x
  3. Step 3: Cross multiply
    42,810x = 62,975 × 62,975
  4. Step 4: Simplify right side
    42,810x = 3,965,850,625
  5. Step 5: Solve for x
    x = 3,965,850,625/42,810
  6. Step 6: Final answer
    x = 92,638.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.