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Finding the Third Proportional to 99,235.13 and 143,749.69

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Solution

The third proportional to 99,235.13 and 143,749.69 is: 208,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,235.13 : 143,749.69 = 143,749.69 : x
  2. Step 2: Convert to fraction form
    99,235.13/143,749.69 = 143,749.69/x
  3. Step 3: Cross multiply
    99,235.13x = 143,749.69 × 143,749.69
  4. Step 4: Simplify right side
    99,235.13x = 20,663,972,656.35
  5. Step 5: Solve for x
    x = 20,663,972,656.35/99,235.13
  6. Step 6: Final answer
    x = 208,232.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.