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Finding the Third Proportional to 338,830 and 451,712

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Solution

The third proportional to 338,830 and 451,712 is: 602,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,830 : 451,712 = 451,712 : x
  2. Step 2: Convert to fraction form
    338,830/451,712 = 451,712/x
  3. Step 3: Cross multiply
    338,830x = 451,712 × 451,712
  4. Step 4: Simplify right side
    338,830x = 204,043,730,944
  5. Step 5: Solve for x
    x = 204,043,730,944/338,830
  6. Step 6: Final answer
    x = 602,200.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.