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Finding the Third Proportional to 99,706 and 216,907

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Solution

The third proportional to 99,706 and 216,907 is: 471,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,706 : 216,907 = 216,907 : x
  2. Step 2: Convert to fraction form
    99,706/216,907 = 216,907/x
  3. Step 3: Cross multiply
    99,706x = 216,907 × 216,907
  4. Step 4: Simplify right side
    99,706x = 47,048,646,649
  5. Step 5: Solve for x
    x = 47,048,646,649/99,706
  6. Step 6: Final answer
    x = 471,873.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.