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Finding the Third Proportional to 78,399.75 and 119,443.13

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Solution

The third proportional to 78,399.75 and 119,443.13 is: 181,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,399.75 : 119,443.13 = 119,443.13 : x
  2. Step 2: Convert to fraction form
    78,399.75/119,443.13 = 119,443.13/x
  3. Step 3: Cross multiply
    78,399.75x = 119,443.13 × 119,443.13
  4. Step 4: Simplify right side
    78,399.75x = 14,266,660,109.77
  5. Step 5: Solve for x
    x = 14,266,660,109.77/78,399.75
  6. Step 6: Final answer
    x = 181,973.29

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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.