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Finding the Third Proportional to 103,098 and 218,832

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Solution

The third proportional to 103,098 and 218,832 is: 464,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,098 : 218,832 = 218,832 : x
  2. Step 2: Convert to fraction form
    103,098/218,832 = 218,832/x
  3. Step 3: Cross multiply
    103,098x = 218,832 × 218,832
  4. Step 4: Simplify right side
    103,098x = 47,887,444,224
  5. Step 5: Solve for x
    x = 47,887,444,224/103,098
  6. Step 6: Final answer
    x = 464,484.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.