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Finding the Third Proportional to 185,538 and 279,155

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Solution

The third proportional to 185,538 and 279,155 is: 420,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,538 : 279,155 = 279,155 : x
  2. Step 2: Convert to fraction form
    185,538/279,155 = 279,155/x
  3. Step 3: Cross multiply
    185,538x = 279,155 × 279,155
  4. Step 4: Simplify right side
    185,538x = 77,927,514,025
  5. Step 5: Solve for x
    x = 77,927,514,025/185,538
  6. Step 6: Final answer
    x = 420,008.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.