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Finding the Third Proportional to 218,042 and 319,883

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Solution

The third proportional to 218,042 and 319,883 is: 469,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,042 : 319,883 = 319,883 : x
  2. Step 2: Convert to fraction form
    218,042/319,883 = 319,883/x
  3. Step 3: Cross multiply
    218,042x = 319,883 × 319,883
  4. Step 4: Simplify right side
    218,042x = 102,325,133,689
  5. Step 5: Solve for x
    x = 102,325,133,689/218,042
  6. Step 6: Final answer
    x = 469,290.93

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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.