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Finding the Third Proportional to 410,418 and 655,636

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Solution

The third proportional to 410,418 and 655,636 is: 1,047,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,418 : 655,636 = 655,636 : x
  2. Step 2: Convert to fraction form
    410,418/655,636 = 655,636/x
  3. Step 3: Cross multiply
    410,418x = 655,636 × 655,636
  4. Step 4: Simplify right side
    410,418x = 429,858,564,496
  5. Step 5: Solve for x
    x = 429,858,564,496/410,418
  6. Step 6: Final answer
    x = 1,047,367.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.