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Finding the Third Proportional to 131,312.25 and 203,718.38

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Solution

The third proportional to 131,312.25 and 203,718.38 is: 316,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,312.25 : 203,718.38 = 203,718.38 : x
  2. Step 2: Convert to fraction form
    131,312.25/203,718.38 = 203,718.38/x
  3. Step 3: Cross multiply
    131,312.25x = 203,718.38 × 203,718.38
  4. Step 4: Simplify right side
    131,312.25x = 41,501,176,312.64
  5. Step 5: Solve for x
    x = 41,501,176,312.64/131,312.25
  6. Step 6: Final answer
    x = 316,049.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.