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Finding the Third Proportional to 78,770 and 119,775

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Solution

The third proportional to 78,770 and 119,775 is: 182,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,770 : 119,775 = 119,775 : x
  2. Step 2: Convert to fraction form
    78,770/119,775 = 119,775/x
  3. Step 3: Cross multiply
    78,770x = 119,775 × 119,775
  4. Step 4: Simplify right side
    78,770x = 14,346,050,625
  5. Step 5: Solve for x
    x = 14,346,050,625/78,770
  6. Step 6: Final answer
    x = 182,125.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.