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Finding the Third Proportional to 31,455 and 68,445

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Solution

The third proportional to 31,455 and 68,445 is: 148,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,455 : 68,445 = 68,445 : x
  2. Step 2: Convert to fraction form
    31,455/68,445 = 68,445/x
  3. Step 3: Cross multiply
    31,455x = 68,445 × 68,445
  4. Step 4: Simplify right side
    31,455x = 4,684,718,025
  5. Step 5: Solve for x
    x = 4,684,718,025/31,455
  6. Step 6: Final answer
    x = 148,933.97

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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.