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Finding the Third Proportional to 99,780.75 and 216,785.25

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Solution

The third proportional to 99,780.75 and 216,785.25 is: 470,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,780.75 : 216,785.25 = 216,785.25 : x
  2. Step 2: Convert to fraction form
    99,780.75/216,785.25 = 216,785.25/x
  3. Step 3: Cross multiply
    99,780.75x = 216,785.25 × 216,785.25
  4. Step 4: Simplify right side
    99,780.75x = 46,995,844,617.56
  5. Step 5: Solve for x
    x = 46,995,844,617.56/99,780.75
  6. Step 6: Final answer
    x = 470,991.09

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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.