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Finding the Third Proportional to 30,416 and 34,880

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Solution

The third proportional to 30,416 and 34,880 is: 39,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416 : 34,880 = 34,880 : x
  2. Step 2: Convert to fraction form
    30,416/34,880 = 34,880/x
  3. Step 3: Cross multiply
    30,416x = 34,880 × 34,880
  4. Step 4: Simplify right side
    30,416x = 1,216,614,400
  5. Step 5: Solve for x
    x = 1,216,614,400/30,416
  6. Step 6: Final answer
    x = 39,999.16

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.