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Finding the Third Proportional to 361,278 and 744,422

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Solution

The third proportional to 361,278 and 744,422 is: 1,533,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,278 : 744,422 = 744,422 : x
  2. Step 2: Convert to fraction form
    361,278/744,422 = 744,422/x
  3. Step 3: Cross multiply
    361,278x = 744,422 × 744,422
  4. Step 4: Simplify right side
    361,278x = 554,164,114,084
  5. Step 5: Solve for x
    x = 554,164,114,084/361,278
  6. Step 6: Final answer
    x = 1,533,899.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.