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Finding the Third Proportional to 81,717 and 114,579

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Solution

The third proportional to 81,717 and 114,579 is: 160,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,717 : 114,579 = 114,579 : x
  2. Step 2: Convert to fraction form
    81,717/114,579 = 114,579/x
  3. Step 3: Cross multiply
    81,717x = 114,579 × 114,579
  4. Step 4: Simplify right side
    81,717x = 13,128,347,241
  5. Step 5: Solve for x
    x = 13,128,347,241/81,717
  6. Step 6: Final answer
    x = 160,656.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.