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Finding the Third Proportional to 101,116 and 217,495

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Solution

The third proportional to 101,116 and 217,495 is: 467,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,116 : 217,495 = 217,495 : x
  2. Step 2: Convert to fraction form
    101,116/217,495 = 217,495/x
  3. Step 3: Cross multiply
    101,116x = 217,495 × 217,495
  4. Step 4: Simplify right side
    101,116x = 47,304,075,025
  5. Step 5: Solve for x
    x = 47,304,075,025/101,116
  6. Step 6: Final answer
    x = 467,819.88

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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.