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Finding the Third Proportional to 99,343 and 215,505

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Solution

The third proportional to 99,343 and 215,505 is: 467,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,343 : 215,505 = 215,505 : x
  2. Step 2: Convert to fraction form
    99,343/215,505 = 215,505/x
  3. Step 3: Cross multiply
    99,343x = 215,505 × 215,505
  4. Step 4: Simplify right side
    99,343x = 46,442,405,025
  5. Step 5: Solve for x
    x = 46,442,405,025/99,343
  6. Step 6: Final answer
    x = 467,495.50

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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.