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Finding the Third Proportional to 296,789 and 640,234

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Solution

The third proportional to 296,789 and 640,234 is: 1,381,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,789 : 640,234 = 640,234 : x
  2. Step 2: Convert to fraction form
    296,789/640,234 = 640,234/x
  3. Step 3: Cross multiply
    296,789x = 640,234 × 640,234
  4. Step 4: Simplify right side
    296,789x = 409,899,574,756
  5. Step 5: Solve for x
    x = 409,899,574,756/296,789
  6. Step 6: Final answer
    x = 1,381,114.44

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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.