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Finding the Third Proportional to 85,210.50 and 131,805

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Solution

The third proportional to 85,210.50 and 131,805 is: 203,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,210.50 : 131,805 = 131,805 : x
  2. Step 2: Convert to fraction form
    85,210.50/131,805 = 131,805/x
  3. Step 3: Cross multiply
    85,210.50x = 131,805 × 131,805
  4. Step 4: Simplify right side
    85,210.50x = 17,372,558,025
  5. Step 5: Solve for x
    x = 17,372,558,025/85,210.50
  6. Step 6: Final answer
    x = 203,878.14

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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.