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Finding the Third Proportional to 99,810.75 and 215,612.25

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Solution

The third proportional to 99,810.75 and 215,612.25 is: 465,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810.75 : 215,612.25 = 215,612.25 : x
  2. Step 2: Convert to fraction form
    99,810.75/215,612.25 = 215,612.25/x
  3. Step 3: Cross multiply
    99,810.75x = 215,612.25 × 215,612.25
  4. Step 4: Simplify right side
    99,810.75x = 46,488,642,350.06
  5. Step 5: Solve for x
    x = 46,488,642,350.06/99,810.75
  6. Step 6: Final answer
    x = 465,767.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.