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Finding the Third Proportional to 408,350 and 655,575

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Solution

The third proportional to 408,350 and 655,575 is: 1,052,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,350 : 655,575 = 655,575 : x
  2. Step 2: Convert to fraction form
    408,350/655,575 = 655,575/x
  3. Step 3: Cross multiply
    408,350x = 655,575 × 655,575
  4. Step 4: Simplify right side
    408,350x = 429,778,580,625
  5. Step 5: Solve for x
    x = 429,778,580,625/408,350
  6. Step 6: Final answer
    x = 1,052,476.01

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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.