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Finding the Third Proportional to 131,246.16 and 203,019.75

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Solution

The third proportional to 131,246.16 and 203,019.75 is: 314,043.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,246.16 : 203,019.75 = 203,019.75 : x
  2. Step 2: Convert to fraction form
    131,246.16/203,019.75 = 203,019.75/x
  3. Step 3: Cross multiply
    131,246.16x = 203,019.75 × 203,019.75
  4. Step 4: Simplify right side
    131,246.16x = 41,217,018,890.06
  5. Step 5: Solve for x
    x = 41,217,018,890.06/131,246.16
  6. Step 6: Final answer
    x = 314,043.63

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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.