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Finding the Third Proportional to 408,352 and 655,578

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Solution

The third proportional to 408,352 and 655,578 is: 1,052,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,352 : 655,578 = 655,578 : x
  2. Step 2: Convert to fraction form
    408,352/655,578 = 655,578/x
  3. Step 3: Cross multiply
    408,352x = 655,578 × 655,578
  4. Step 4: Simplify right side
    408,352x = 429,782,514,084
  5. Step 5: Solve for x
    x = 429,782,514,084/408,352
  6. Step 6: Final answer
    x = 1,052,480.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.