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Finding the Third Proportional to 98,909 and 216,771

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Solution

The third proportional to 98,909 and 216,771 is: 475,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,909 : 216,771 = 216,771 : x
  2. Step 2: Convert to fraction form
    98,909/216,771 = 216,771/x
  3. Step 3: Cross multiply
    98,909x = 216,771 × 216,771
  4. Step 4: Simplify right side
    98,909x = 46,989,666,441
  5. Step 5: Solve for x
    x = 46,989,666,441/98,909
  6. Step 6: Final answer
    x = 475,079.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.