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Finding the Third Proportional to 99,292 and 216,432

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Solution

The third proportional to 99,292 and 216,432 is: 471,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,292 : 216,432 = 216,432 : x
  2. Step 2: Convert to fraction form
    99,292/216,432 = 216,432/x
  3. Step 3: Cross multiply
    99,292x = 216,432 × 216,432
  4. Step 4: Simplify right side
    99,292x = 46,842,810,624
  5. Step 5: Solve for x
    x = 46,842,810,624/99,292
  6. Step 6: Final answer
    x = 471,768.23

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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.