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Finding the Third Proportional to 218,106 and 319,959

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Solution

The third proportional to 218,106 and 319,959 is: 469,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,106 : 319,959 = 319,959 : x
  2. Step 2: Convert to fraction form
    218,106/319,959 = 319,959/x
  3. Step 3: Cross multiply
    218,106x = 319,959 × 319,959
  4. Step 4: Simplify right side
    218,106x = 102,373,761,681
  5. Step 5: Solve for x
    x = 102,373,761,681/218,106
  6. Step 6: Final answer
    x = 469,376.18

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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.