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Finding the Third Proportional to 67,770 and 90,567

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Solution

The third proportional to 67,770 and 90,567 is: 121,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,770 : 90,567 = 90,567 : x
  2. Step 2: Convert to fraction form
    67,770/90,567 = 90,567/x
  3. Step 3: Cross multiply
    67,770x = 90,567 × 90,567
  4. Step 4: Simplify right side
    67,770x = 8,202,381,489
  5. Step 5: Solve for x
    x = 8,202,381,489/67,770
  6. Step 6: Final answer
    x = 121,032.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.