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Finding the Third Proportional to 99,758 and 215,341

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Solution

The third proportional to 99,758 and 215,341 is: 464,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,758 : 215,341 = 215,341 : x
  2. Step 2: Convert to fraction form
    99,758/215,341 = 215,341/x
  3. Step 3: Cross multiply
    99,758x = 215,341 × 215,341
  4. Step 4: Simplify right side
    99,758x = 46,371,746,281
  5. Step 5: Solve for x
    x = 46,371,746,281/99,758
  6. Step 6: Final answer
    x = 464,842.38

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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.