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Finding the Third Proportional to 31,556 and 68,512

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Solution

The third proportional to 31,556 and 68,512 is: 148,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,556 : 68,512 = 68,512 : x
  2. Step 2: Convert to fraction form
    31,556/68,512 = 68,512/x
  3. Step 3: Cross multiply
    31,556x = 68,512 × 68,512
  4. Step 4: Simplify right side
    31,556x = 4,693,894,144
  5. Step 5: Solve for x
    x = 4,693,894,144/31,556
  6. Step 6: Final answer
    x = 148,748.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.