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Finding the Third Proportional to 218,099.25 and 319,960.13

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Solution

The third proportional to 218,099.25 and 319,960.13 is: 469,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,099.25 : 319,960.13 = 319,960.13 : x
  2. Step 2: Convert to fraction form
    218,099.25/319,960.13 = 319,960.13/x
  3. Step 3: Cross multiply
    218,099.25x = 319,960.13 × 319,960.13
  4. Step 4: Simplify right side
    218,099.25x = 102,374,481,590.02
  5. Step 5: Solve for x
    x = 102,374,481,590.02/218,099.25
  6. Step 6: Final answer
    x = 469,394.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.