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Finding the Third Proportional to 338,247 and 729,378

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Solution

The third proportional to 338,247 and 729,378 is: 1,572,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,247 : 729,378 = 729,378 : x
  2. Step 2: Convert to fraction form
    338,247/729,378 = 729,378/x
  3. Step 3: Cross multiply
    338,247x = 729,378 × 729,378
  4. Step 4: Simplify right side
    338,247x = 531,992,266,884
  5. Step 5: Solve for x
    x = 531,992,266,884/338,247
  6. Step 6: Final answer
    x = 1,572,792.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.