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Finding the Third Proportional to 408,348 and 655,572

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Solution

The third proportional to 408,348 and 655,572 is: 1,052,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,348 : 655,572 = 655,572 : x
  2. Step 2: Convert to fraction form
    408,348/655,572 = 655,572/x
  3. Step 3: Cross multiply
    408,348x = 655,572 × 655,572
  4. Step 4: Simplify right side
    408,348x = 429,774,647,184
  5. Step 5: Solve for x
    x = 429,774,647,184/408,348
  6. Step 6: Final answer
    x = 1,052,471.54

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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.