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Finding the Third Proportional to 31,686 and 68,598

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Solution

The third proportional to 31,686 and 68,598 is: 148,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686 : 68,598 = 68,598 : x
  2. Step 2: Convert to fraction form
    31,686/68,598 = 68,598/x
  3. Step 3: Cross multiply
    31,686x = 68,598 × 68,598
  4. Step 4: Simplify right side
    31,686x = 4,705,685,604
  5. Step 5: Solve for x
    x = 4,705,685,604/31,686
  6. Step 6: Final answer
    x = 148,509.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.