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Finding the Third Proportional to 99,837 and 216,285

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Solution

The third proportional to 99,837 and 216,285 is: 468,555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,837 : 216,285 = 216,285 : x
  2. Step 2: Convert to fraction form
    99,837/216,285 = 216,285/x
  3. Step 3: Cross multiply
    99,837x = 216,285 × 216,285
  4. Step 4: Simplify right side
    99,837x = 46,779,201,225
  5. Step 5: Solve for x
    x = 46,779,201,225/99,837
  6. Step 6: Final answer
    x = 468,555.76

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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.