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Finding the Third Proportional to 34,564 and 71,720

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Solution

The third proportional to 34,564 and 71,720 is: 148,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,564 : 71,720 = 71,720 : x
  2. Step 2: Convert to fraction form
    34,564/71,720 = 71,720/x
  3. Step 3: Cross multiply
    34,564x = 71,720 × 71,720
  4. Step 4: Simplify right side
    34,564x = 5,143,758,400
  5. Step 5: Solve for x
    x = 5,143,758,400/34,564
  6. Step 6: Final answer
    x = 148,818.38

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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.