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Finding the Third Proportional to 99,177.75 and 141,385.50

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Solution

The third proportional to 99,177.75 and 141,385.50 is: 201,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,177.75 : 141,385.50 = 141,385.50 : x
  2. Step 2: Convert to fraction form
    99,177.75/141,385.50 = 141,385.50/x
  3. Step 3: Cross multiply
    99,177.75x = 141,385.50 × 141,385.50
  4. Step 4: Simplify right side
    99,177.75x = 19,989,859,610.25
  5. Step 5: Solve for x
    x = 19,989,859,610.25/99,177.75
  6. Step 6: Final answer
    x = 201,555.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.