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Finding the Third Proportional to 99,771.75 and 216,498.75

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Solution

The third proportional to 99,771.75 and 216,498.75 is: 469,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,771.75 : 216,498.75 = 216,498.75 : x
  2. Step 2: Convert to fraction form
    99,771.75/216,498.75 = 216,498.75/x
  3. Step 3: Cross multiply
    99,771.75x = 216,498.75 × 216,498.75
  4. Step 4: Simplify right side
    99,771.75x = 46,871,708,751.56
  5. Step 5: Solve for x
    x = 46,871,708,751.56/99,771.75
  6. Step 6: Final answer
    x = 469,789.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.