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Finding the Third Proportional to 85,782 and 130,131

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Solution

The third proportional to 85,782 and 130,131 is: 197,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,782 : 130,131 = 130,131 : x
  2. Step 2: Convert to fraction form
    85,782/130,131 = 130,131/x
  3. Step 3: Cross multiply
    85,782x = 130,131 × 130,131
  4. Step 4: Simplify right side
    85,782x = 16,934,077,161
  5. Step 5: Solve for x
    x = 16,934,077,161/85,782
  6. Step 6: Final answer
    x = 197,408.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.