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Finding the Third Proportional to 338,721 and 495,366

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Solution

The third proportional to 338,721 and 495,366 is: 724,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,721 : 495,366 = 495,366 : x
  2. Step 2: Convert to fraction form
    338,721/495,366 = 495,366/x
  3. Step 3: Cross multiply
    338,721x = 495,366 × 495,366
  4. Step 4: Simplify right side
    338,721x = 245,387,473,956
  5. Step 5: Solve for x
    x = 245,387,473,956/338,721
  6. Step 6: Final answer
    x = 724,453.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.