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Finding the Third Proportional to 297,996.75 and 645,498

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Solution

The third proportional to 297,996.75 and 645,498 is: 1,398,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,996.75 : 645,498 = 645,498 : x
  2. Step 2: Convert to fraction form
    297,996.75/645,498 = 645,498/x
  3. Step 3: Cross multiply
    297,996.75x = 645,498 × 645,498
  4. Step 4: Simplify right side
    297,996.75x = 416,667,668,004
  5. Step 5: Solve for x
    x = 416,667,668,004/297,996.75
  6. Step 6: Final answer
    x = 1,398,228.90

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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.