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Finding the Third Proportional to 31,433 and 68,407

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Solution

The third proportional to 31,433 and 68,407 is: 148,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,433 : 68,407 = 68,407 : x
  2. Step 2: Convert to fraction form
    31,433/68,407 = 68,407/x
  3. Step 3: Cross multiply
    31,433x = 68,407 × 68,407
  4. Step 4: Simplify right side
    31,433x = 4,679,517,649
  5. Step 5: Solve for x
    x = 4,679,517,649/31,433
  6. Step 6: Final answer
    x = 148,872.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.