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Finding the Third Proportional to 131,631.19 and 256,701.38

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Solution

The third proportional to 131,631.19 and 256,701.38 is: 500,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,631.19 : 256,701.38 = 256,701.38 : x
  2. Step 2: Convert to fraction form
    131,631.19/256,701.38 = 256,701.38/x
  3. Step 3: Cross multiply
    131,631.19x = 256,701.38 × 256,701.38
  4. Step 4: Simplify right side
    131,631.19x = 65,895,595,926.89
  5. Step 5: Solve for x
    x = 65,895,595,926.89/131,631.19
  6. Step 6: Final answer
    x = 500,607.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.