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Finding the Third Proportional to 297,021.94 and 640,234.13

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Solution

The third proportional to 297,021.94 and 640,234.13 is: 1,380,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,021.94 : 640,234.13 = 640,234.13 : x
  2. Step 2: Convert to fraction form
    297,021.94/640,234.13 = 640,234.13/x
  3. Step 3: Cross multiply
    297,021.94x = 640,234.13 × 640,234.13
  4. Step 4: Simplify right side
    297,021.94x = 409,899,734,814.52
  5. Step 5: Solve for x
    x = 409,899,734,814.52/297,021.94
  6. Step 6: Final answer
    x = 1,380,031.85

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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.