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Finding the Third Proportional to 179,959 and 386,102

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Solution

The third proportional to 179,959 and 386,102 is: 828,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,959 : 386,102 = 386,102 : x
  2. Step 2: Convert to fraction form
    179,959/386,102 = 386,102/x
  3. Step 3: Cross multiply
    179,959x = 386,102 × 386,102
  4. Step 4: Simplify right side
    179,959x = 149,074,754,404
  5. Step 5: Solve for x
    x = 149,074,754,404/179,959
  6. Step 6: Final answer
    x = 828,381.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.