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Finding the Third Proportional to 338,640 and 744,132

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Solution

The third proportional to 338,640 and 744,132 is: 1,635,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,640 : 744,132 = 744,132 : x
  2. Step 2: Convert to fraction form
    338,640/744,132 = 744,132/x
  3. Step 3: Cross multiply
    338,640x = 744,132 × 744,132
  4. Step 4: Simplify right side
    338,640x = 553,732,433,424
  5. Step 5: Solve for x
    x = 553,732,433,424/338,640
  6. Step 6: Final answer
    x = 1,635,165.47

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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.