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Finding the Third Proportional to 99,262 and 216,371

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Solution

The third proportional to 99,262 and 216,371 is: 471,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,262 : 216,371 = 216,371 : x
  2. Step 2: Convert to fraction form
    99,262/216,371 = 216,371/x
  3. Step 3: Cross multiply
    99,262x = 216,371 × 216,371
  4. Step 4: Simplify right side
    99,262x = 46,816,409,641
  5. Step 5: Solve for x
    x = 46,816,409,641/99,262
  6. Step 6: Final answer
    x = 471,644.84

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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.