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Finding the Third Proportional to 320,600 and 498,400

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Solution

The third proportional to 320,600 and 498,400 is: 774,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,600 : 498,400 = 498,400 : x
  2. Step 2: Convert to fraction form
    320,600/498,400 = 498,400/x
  3. Step 3: Cross multiply
    320,600x = 498,400 × 498,400
  4. Step 4: Simplify right side
    320,600x = 248,402,560,000
  5. Step 5: Solve for x
    x = 248,402,560,000/320,600
  6. Step 6: Final answer
    x = 774,805.24

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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.