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Finding the Third Proportional to 34,880 and 75,592

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Solution

The third proportional to 34,880 and 75,592 is: 163,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,880 : 75,592 = 75,592 : x
  2. Step 2: Convert to fraction form
    34,880/75,592 = 75,592/x
  3. Step 3: Cross multiply
    34,880x = 75,592 × 75,592
  4. Step 4: Simplify right side
    34,880x = 5,714,150,464
  5. Step 5: Solve for x
    x = 5,714,150,464/34,880
  6. Step 6: Final answer
    x = 163,823.12

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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.