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Finding the Third Proportional to 218,112 and 319,968

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Solution

The third proportional to 218,112 and 319,968 is: 469,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,112 : 319,968 = 319,968 : x
  2. Step 2: Convert to fraction form
    218,112/319,968 = 319,968/x
  3. Step 3: Cross multiply
    218,112x = 319,968 × 319,968
  4. Step 4: Simplify right side
    218,112x = 102,379,521,024
  5. Step 5: Solve for x
    x = 102,379,521,024/218,112
  6. Step 6: Final answer
    x = 469,389.68

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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.