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Finding the Third Proportional to 296,940 and 640,500

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Solution

The third proportional to 296,940 and 640,500 is: 1,381,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,940 : 640,500 = 640,500 : x
  2. Step 2: Convert to fraction form
    296,940/640,500 = 640,500/x
  3. Step 3: Cross multiply
    296,940x = 640,500 × 640,500
  4. Step 4: Simplify right side
    296,940x = 410,240,250,000
  5. Step 5: Solve for x
    x = 410,240,250,000/296,940
  6. Step 6: Final answer
    x = 1,381,559.41

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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.