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Finding the Third Proportional to 99,352 and 215,279

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Solution

The third proportional to 99,352 and 215,279 is: 466,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,352 : 215,279 = 215,279 : x
  2. Step 2: Convert to fraction form
    99,352/215,279 = 215,279/x
  3. Step 3: Cross multiply
    99,352x = 215,279 × 215,279
  4. Step 4: Simplify right side
    99,352x = 46,345,047,841
  5. Step 5: Solve for x
    x = 46,345,047,841/99,352
  6. Step 6: Final answer
    x = 466,473.22

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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.