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Finding the Third Proportional to 99,800.50 and 215,593.50

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Solution

The third proportional to 99,800.50 and 215,593.50 is: 465,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,800.50 : 215,593.50 = 215,593.50 : x
  2. Step 2: Convert to fraction form
    99,800.50/215,593.50 = 215,593.50/x
  3. Step 3: Cross multiply
    99,800.50x = 215,593.50 × 215,593.50
  4. Step 4: Simplify right side
    99,800.50x = 46,480,557,242.25
  5. Step 5: Solve for x
    x = 46,480,557,242.25/99,800.50
  6. Step 6: Final answer
    x = 465,734.71

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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.