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Finding the Third Proportional to 120,178.69 and 186,829.03

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Solution

The third proportional to 120,178.69 and 186,829.03 is: 290,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,178.69 : 186,829.03 = 186,829.03 : x
  2. Step 2: Convert to fraction form
    120,178.69/186,829.03 = 186,829.03/x
  3. Step 3: Cross multiply
    120,178.69x = 186,829.03 × 186,829.03
  4. Step 4: Simplify right side
    120,178.69x = 34,905,086,917.81
  5. Step 5: Solve for x
    x = 34,905,086,917.81/120,178.69
  6. Step 6: Final answer
    x = 290,443.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.