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Finding the Third Proportional to 297,332 and 641,320

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Solution

The third proportional to 297,332 and 641,320 is: 1,383,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,332 : 641,320 = 641,320 : x
  2. Step 2: Convert to fraction form
    297,332/641,320 = 641,320/x
  3. Step 3: Cross multiply
    297,332x = 641,320 × 641,320
  4. Step 4: Simplify right side
    297,332x = 411,291,342,400
  5. Step 5: Solve for x
    x = 411,291,342,400/297,332
  6. Step 6: Final answer
    x = 1,383,273.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.