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Finding the Third Proportional to 78,343.88 and 119,351.81

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Solution

The third proportional to 78,343.88 and 119,351.81 is: 181,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,343.88 : 119,351.81 = 119,351.81 : x
  2. Step 2: Convert to fraction form
    78,343.88/119,351.81 = 119,351.81/x
  3. Step 3: Cross multiply
    78,343.88x = 119,351.81 × 119,351.81
  4. Step 4: Simplify right side
    78,343.88x = 14,244,855,147.04
  5. Step 5: Solve for x
    x = 14,244,855,147.04/78,343.88
  6. Step 6: Final answer
    x = 181,824.75

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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.