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Finding the Third Proportional to 302,658.75 and 655,416

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Solution

The third proportional to 302,658.75 and 655,416 is: 1,419,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,658.75 : 655,416 = 655,416 : x
  2. Step 2: Convert to fraction form
    302,658.75/655,416 = 655,416/x
  3. Step 3: Cross multiply
    302,658.75x = 655,416 × 655,416
  4. Step 4: Simplify right side
    302,658.75x = 429,570,133,056
  5. Step 5: Solve for x
    x = 429,570,133,056/302,658.75
  6. Step 6: Final answer
    x = 1,419,321.70

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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.