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Finding the Third Proportional to 102,068 and 151,644

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Solution

The third proportional to 102,068 and 151,644 is: 225,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,068 : 151,644 = 151,644 : x
  2. Step 2: Convert to fraction form
    102,068/151,644 = 151,644/x
  3. Step 3: Cross multiply
    102,068x = 151,644 × 151,644
  4. Step 4: Simplify right side
    102,068x = 22,995,902,736
  5. Step 5: Solve for x
    x = 22,995,902,736/102,068
  6. Step 6: Final answer
    x = 225,299.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.