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Finding the Third Proportional to 99,387 and 133,771.50

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Solution

The third proportional to 99,387 and 133,771.50 is: 180,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,387 : 133,771.50 = 133,771.50 : x
  2. Step 2: Convert to fraction form
    99,387/133,771.50 = 133,771.50/x
  3. Step 3: Cross multiply
    99,387x = 133,771.50 × 133,771.50
  4. Step 4: Simplify right side
    99,387x = 17,894,814,212.25
  5. Step 5: Solve for x
    x = 17,894,814,212.25/99,387
  6. Step 6: Final answer
    x = 180,051.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.