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Finding the Third Proportional to 302,640.75 and 655,380

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Solution

The third proportional to 302,640.75 and 655,380 is: 1,419,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,640.75 : 655,380 = 655,380 : x
  2. Step 2: Convert to fraction form
    302,640.75/655,380 = 655,380/x
  3. Step 3: Cross multiply
    302,640.75x = 655,380 × 655,380
  4. Step 4: Simplify right side
    302,640.75x = 429,522,944,400
  5. Step 5: Solve for x
    x = 429,522,944,400/302,640.75
  6. Step 6: Final answer
    x = 1,419,250.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.