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Finding the Third Proportional to 99,281 and 216,409

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Solution

The third proportional to 99,281 and 216,409 is: 471,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,281 : 216,409 = 216,409 : x
  2. Step 2: Convert to fraction form
    99,281/216,409 = 216,409/x
  3. Step 3: Cross multiply
    99,281x = 216,409 × 216,409
  4. Step 4: Simplify right side
    99,281x = 46,832,855,281
  5. Step 5: Solve for x
    x = 46,832,855,281/99,281
  6. Step 6: Final answer
    x = 471,720.22

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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.