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Finding the Third Proportional to 78,310.13 and 119,301.19

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Solution

The third proportional to 78,310.13 and 119,301.19 is: 181,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,310.13 : 119,301.19 = 119,301.19 : x
  2. Step 2: Convert to fraction form
    78,310.13/119,301.19 = 119,301.19/x
  3. Step 3: Cross multiply
    78,310.13x = 119,301.19 × 119,301.19
  4. Step 4: Simplify right side
    78,310.13x = 14,232,773,338.91
  5. Step 5: Solve for x
    x = 14,232,773,338.91/78,310.13
  6. Step 6: Final answer
    x = 181,748.83

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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.