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Finding the Third Proportional to 42,702.75 and 68,609.25

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Solution

The third proportional to 42,702.75 and 68,609.25 is: 110,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,702.75 : 68,609.25 = 68,609.25 : x
  2. Step 2: Convert to fraction form
    42,702.75/68,609.25 = 68,609.25/x
  3. Step 3: Cross multiply
    42,702.75x = 68,609.25 × 68,609.25
  4. Step 4: Simplify right side
    42,702.75x = 4,707,229,185.56
  5. Step 5: Solve for x
    x = 4,707,229,185.56/42,702.75
  6. Step 6: Final answer
    x = 110,232.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.