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Finding the Third Proportional to 42,759 and 68,050.75

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Solution

The third proportional to 42,759 and 68,050.75 is: 108,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,759 : 68,050.75 = 68,050.75 : x
  2. Step 2: Convert to fraction form
    42,759/68,050.75 = 68,050.75/x
  3. Step 3: Cross multiply
    42,759x = 68,050.75 × 68,050.75
  4. Step 4: Simplify right side
    42,759x = 4,630,904,575.56
  5. Step 5: Solve for x
    x = 4,630,904,575.56/42,759
  6. Step 6: Final answer
    x = 108,302.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.