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Finding the Third Proportional to 103,618 and 155,811

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Solution

The third proportional to 103,618 and 155,811 is: 234,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,618 : 155,811 = 155,811 : x
  2. Step 2: Convert to fraction form
    103,618/155,811 = 155,811/x
  3. Step 3: Cross multiply
    103,618x = 155,811 × 155,811
  4. Step 4: Simplify right side
    103,618x = 24,277,067,721
  5. Step 5: Solve for x
    x = 24,277,067,721/103,618
  6. Step 6: Final answer
    x = 234,293.92

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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.