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Finding the Third Proportional to 81,056 and 130,234

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Solution

The third proportional to 81,056 and 130,234 is: 209,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,056 : 130,234 = 130,234 : x
  2. Step 2: Convert to fraction form
    81,056/130,234 = 130,234/x
  3. Step 3: Cross multiply
    81,056x = 130,234 × 130,234
  4. Step 4: Simplify right side
    81,056x = 16,960,894,756
  5. Step 5: Solve for x
    x = 16,960,894,756/81,056
  6. Step 6: Final answer
    x = 209,249.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.