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Finding the Third Proportional to 99,765.50 and 215,357

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Solution

The third proportional to 99,765.50 and 215,357 is: 464,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765.50 : 215,357 = 215,357 : x
  2. Step 2: Convert to fraction form
    99,765.50/215,357 = 215,357/x
  3. Step 3: Cross multiply
    99,765.50x = 215,357 × 215,357
  4. Step 4: Simplify right side
    99,765.50x = 46,378,637,449
  5. Step 5: Solve for x
    x = 46,378,637,449/99,765.50
  6. Step 6: Final answer
    x = 464,876.51

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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.