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Finding the Third Proportional to 207,400 and 320,820

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Solution

The third proportional to 207,400 and 320,820 is: 496,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,400 : 320,820 = 320,820 : x
  2. Step 2: Convert to fraction form
    207,400/320,820 = 320,820/x
  3. Step 3: Cross multiply
    207,400x = 320,820 × 320,820
  4. Step 4: Simplify right side
    207,400x = 102,925,472,400
  5. Step 5: Solve for x
    x = 102,925,472,400/207,400
  6. Step 6: Final answer
    x = 496,265.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.