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Finding the Third Proportional to 34,512 and 74,310

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Solution

The third proportional to 34,512 and 74,310 is: 160,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,512 : 74,310 = 74,310 : x
  2. Step 2: Convert to fraction form
    34,512/74,310 = 74,310/x
  3. Step 3: Cross multiply
    34,512x = 74,310 × 74,310
  4. Step 4: Simplify right side
    34,512x = 5,521,976,100
  5. Step 5: Solve for x
    x = 5,521,976,100/34,512
  6. Step 6: Final answer
    x = 160,001.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.