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Finding the Third Proportional to 120,174.75 and 186,822

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Solution

The third proportional to 120,174.75 and 186,822 is: 290,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,174.75 : 186,822 = 186,822 : x
  2. Step 2: Convert to fraction form
    120,174.75/186,822 = 186,822/x
  3. Step 3: Cross multiply
    120,174.75x = 186,822 × 186,822
  4. Step 4: Simplify right side
    120,174.75x = 34,902,459,684
  5. Step 5: Solve for x
    x = 34,902,459,684/120,174.75
  6. Step 6: Final answer
    x = 290,430.89

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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.