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Finding the Third Proportional to 34,476 and 71,512

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Solution

The third proportional to 34,476 and 71,512 is: 148,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,476 : 71,512 = 71,512 : x
  2. Step 2: Convert to fraction form
    34,476/71,512 = 71,512/x
  3. Step 3: Cross multiply
    34,476x = 71,512 × 71,512
  4. Step 4: Simplify right side
    34,476x = 5,113,966,144
  5. Step 5: Solve for x
    x = 5,113,966,144/34,476
  6. Step 6: Final answer
    x = 148,334.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.