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Finding the Third Proportional to 297,000 and 640,368

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Solution

The third proportional to 297,000 and 640,368 is: 1,380,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,000 : 640,368 = 640,368 : x
  2. Step 2: Convert to fraction form
    297,000/640,368 = 640,368/x
  3. Step 3: Cross multiply
    297,000x = 640,368 × 640,368
  4. Step 4: Simplify right side
    297,000x = 410,071,175,424
  5. Step 5: Solve for x
    x = 410,071,175,424/297,000
  6. Step 6: Final answer
    x = 1,380,711.03

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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.