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Finding the Third Proportional to 338,672 and 746,458

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Solution

The third proportional to 338,672 and 746,458 is: 1,645,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,672 : 746,458 = 746,458 : x
  2. Step 2: Convert to fraction form
    338,672/746,458 = 746,458/x
  3. Step 3: Cross multiply
    338,672x = 746,458 × 746,458
  4. Step 4: Simplify right side
    338,672x = 557,199,545,764
  5. Step 5: Solve for x
    x = 557,199,545,764/338,672
  6. Step 6: Final answer
    x = 1,645,248.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.