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Finding the Third Proportional to 410,422 and 655,642

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Solution

The third proportional to 410,422 and 655,642 is: 1,047,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,422 : 655,642 = 655,642 : x
  2. Step 2: Convert to fraction form
    410,422/655,642 = 655,642/x
  3. Step 3: Cross multiply
    410,422x = 655,642 × 655,642
  4. Step 4: Simplify right side
    410,422x = 429,866,432,164
  5. Step 5: Solve for x
    x = 429,866,432,164/410,422
  6. Step 6: Final answer
    x = 1,047,376.68

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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.