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Finding the Third Proportional to 81,456 and 107,362

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Solution

The third proportional to 81,456 and 107,362 is: 141,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,456 : 107,362 = 107,362 : x
  2. Step 2: Convert to fraction form
    81,456/107,362 = 107,362/x
  3. Step 3: Cross multiply
    81,456x = 107,362 × 107,362
  4. Step 4: Simplify right side
    81,456x = 11,526,599,044
  5. Step 5: Solve for x
    x = 11,526,599,044/81,456
  6. Step 6: Final answer
    x = 141,507.06

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.