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Finding the Third Proportional to 101,788 and 217,101

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Solution

The third proportional to 101,788 and 217,101 is: 463,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,788 : 217,101 = 217,101 : x
  2. Step 2: Convert to fraction form
    101,788/217,101 = 217,101/x
  3. Step 3: Cross multiply
    101,788x = 217,101 × 217,101
  4. Step 4: Simplify right side
    101,788x = 47,132,844,201
  5. Step 5: Solve for x
    x = 47,132,844,201/101,788
  6. Step 6: Final answer
    x = 463,049.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.