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Finding the Third Proportional to 84,856 and 129,084

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Solution

The third proportional to 84,856 and 129,084 is: 196,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,856 : 129,084 = 129,084 : x
  2. Step 2: Convert to fraction form
    84,856/129,084 = 129,084/x
  3. Step 3: Cross multiply
    84,856x = 129,084 × 129,084
  4. Step 4: Simplify right side
    84,856x = 16,662,679,056
  5. Step 5: Solve for x
    x = 16,662,679,056/84,856
  6. Step 6: Final answer
    x = 196,364.18

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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.