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Finding the Third Proportional to 30,416 and 32,720

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Solution

The third proportional to 30,416 and 32,720 is: 35,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416 : 32,720 = 32,720 : x
  2. Step 2: Convert to fraction form
    30,416/32,720 = 32,720/x
  3. Step 3: Cross multiply
    30,416x = 32,720 × 32,720
  4. Step 4: Simplify right side
    30,416x = 1,070,598,400
  5. Step 5: Solve for x
    x = 1,070,598,400/30,416
  6. Step 6: Final answer
    x = 35,198.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.