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Finding the Third Proportional to 101,117 and 217,498

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Solution

The third proportional to 101,117 and 217,498 is: 467,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,117 : 217,498 = 217,498 : x
  2. Step 2: Convert to fraction form
    101,117/217,498 = 217,498/x
  3. Step 3: Cross multiply
    101,117x = 217,498 × 217,498
  4. Step 4: Simplify right side
    101,117x = 47,305,380,004
  5. Step 5: Solve for x
    x = 47,305,380,004/101,117
  6. Step 6: Final answer
    x = 467,828.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.