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Finding the Third Proportional to 81,226 and 127,312

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Solution

The third proportional to 81,226 and 127,312 is: 199,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,226 : 127,312 = 127,312 : x
  2. Step 2: Convert to fraction form
    81,226/127,312 = 127,312/x
  3. Step 3: Cross multiply
    81,226x = 127,312 × 127,312
  4. Step 4: Simplify right side
    81,226x = 16,208,345,344
  5. Step 5: Solve for x
    x = 16,208,345,344/81,226
  6. Step 6: Final answer
    x = 199,546.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.