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Finding the Third Proportional to 99,771 and 216,998

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Solution

The third proportional to 99,771 and 216,998 is: 471,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,771 : 216,998 = 216,998 : x
  2. Step 2: Convert to fraction form
    99,771/216,998 = 216,998/x
  3. Step 3: Cross multiply
    99,771x = 216,998 × 216,998
  4. Step 4: Simplify right side
    99,771x = 47,088,132,004
  5. Step 5: Solve for x
    x = 47,088,132,004/99,771
  6. Step 6: Final answer
    x = 471,962.11

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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.