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Finding the Third Proportional to 402,448 and 544,622

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Solution

The third proportional to 402,448 and 544,622 is: 737,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,448 : 544,622 = 544,622 : x
  2. Step 2: Convert to fraction form
    402,448/544,622 = 544,622/x
  3. Step 3: Cross multiply
    402,448x = 544,622 × 544,622
  4. Step 4: Simplify right side
    402,448x = 296,613,122,884
  5. Step 5: Solve for x
    x = 296,613,122,884/402,448
  6. Step 6: Final answer
    x = 737,022.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.