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Finding the Third Proportional to 320,423 and 498,131

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Solution

The third proportional to 320,423 and 498,131 is: 774,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,423 : 498,131 = 498,131 : x
  2. Step 2: Convert to fraction form
    320,423/498,131 = 498,131/x
  3. Step 3: Cross multiply
    320,423x = 498,131 × 498,131
  4. Step 4: Simplify right side
    320,423x = 248,134,493,161
  5. Step 5: Solve for x
    x = 248,134,493,161/320,423
  6. Step 6: Final answer
    x = 774,396.64

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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.