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Finding the Third Proportional to 85,210 and 131,804

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Solution

The third proportional to 85,210 and 131,804 is: 203,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,210 : 131,804 = 131,804 : x
  2. Step 2: Convert to fraction form
    85,210/131,804 = 131,804/x
  3. Step 3: Cross multiply
    85,210x = 131,804 × 131,804
  4. Step 4: Simplify right side
    85,210x = 17,372,294,416
  5. Step 5: Solve for x
    x = 17,372,294,416/85,210
  6. Step 6: Final answer
    x = 203,876.24

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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.