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Finding the Third Proportional to 298,602 and 655,452

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Solution

The third proportional to 298,602 and 655,452 is: 1,438,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,602 : 655,452 = 655,452 : x
  2. Step 2: Convert to fraction form
    298,602/655,452 = 655,452/x
  3. Step 3: Cross multiply
    298,602x = 655,452 × 655,452
  4. Step 4: Simplify right side
    298,602x = 429,617,324,304
  5. Step 5: Solve for x
    x = 429,617,324,304/298,602
  6. Step 6: Final answer
    x = 1,438,762.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.