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Finding the Third Proportional to 138,818 and 308,692

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Solution

The third proportional to 138,818 and 308,692 is: 686,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,818 : 308,692 = 308,692 : x
  2. Step 2: Convert to fraction form
    138,818/308,692 = 308,692/x
  3. Step 3: Cross multiply
    138,818x = 308,692 × 308,692
  4. Step 4: Simplify right side
    138,818x = 95,290,750,864
  5. Step 5: Solve for x
    x = 95,290,750,864/138,818
  6. Step 6: Final answer
    x = 686,443.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.