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Finding the Third Proportional to 85,412 and 130,184

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Solution

The third proportional to 85,412 and 130,184 is: 198,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,412 : 130,184 = 130,184 : x
  2. Step 2: Convert to fraction form
    85,412/130,184 = 130,184/x
  3. Step 3: Cross multiply
    85,412x = 130,184 × 130,184
  4. Step 4: Simplify right side
    85,412x = 16,947,873,856
  5. Step 5: Solve for x
    x = 16,947,873,856/85,412
  6. Step 6: Final answer
    x = 198,424.97

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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.