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Finding the Third Proportional to 77,774.25 and 120,306.38

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Solution

The third proportional to 77,774.25 and 120,306.38 is: 186,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,774.25 : 120,306.38 = 120,306.38 : x
  2. Step 2: Convert to fraction form
    77,774.25/120,306.38 = 120,306.38/x
  3. Step 3: Cross multiply
    77,774.25x = 120,306.38 × 120,306.38
  4. Step 4: Simplify right side
    77,774.25x = 14,473,623,865.64
  5. Step 5: Solve for x
    x = 14,473,623,865.64/77,774.25
  6. Step 6: Final answer
    x = 186,097.89

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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.