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Finding the Third Proportional to 218,103 and 319,954.50

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Solution

The third proportional to 218,103 and 319,954.50 is: 469,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,103 : 319,954.50 = 319,954.50 : x
  2. Step 2: Convert to fraction form
    218,103/319,954.50 = 319,954.50/x
  3. Step 3: Cross multiply
    218,103x = 319,954.50 × 319,954.50
  4. Step 4: Simplify right side
    218,103x = 102,370,882,070.25
  5. Step 5: Solve for x
    x = 102,370,882,070.25/218,103
  6. Step 6: Final answer
    x = 469,369.44

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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.