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Finding the Third Proportional to 131,179.50 and 191,605.50

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Solution

The third proportional to 131,179.50 and 191,605.50 is: 279,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,179.50 : 191,605.50 = 191,605.50 : x
  2. Step 2: Convert to fraction form
    131,179.50/191,605.50 = 191,605.50/x
  3. Step 3: Cross multiply
    131,179.50x = 191,605.50 × 191,605.50
  4. Step 4: Simplify right side
    131,179.50x = 36,712,667,630.25
  5. Step 5: Solve for x
    x = 36,712,667,630.25/131,179.50
  6. Step 6: Final answer
    x = 279,865.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.