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Finding the Third Proportional to 61,286 and 86,723

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Solution

The third proportional to 61,286 and 86,723 is: 122,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,286 : 86,723 = 86,723 : x
  2. Step 2: Convert to fraction form
    61,286/86,723 = 86,723/x
  3. Step 3: Cross multiply
    61,286x = 86,723 × 86,723
  4. Step 4: Simplify right side
    61,286x = 7,520,878,729
  5. Step 5: Solve for x
    x = 7,520,878,729/61,286
  6. Step 6: Final answer
    x = 122,717.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.