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Finding the Third Proportional to 320,136 and 694,536

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Solution

The third proportional to 320,136 and 694,536 is: 1,506,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,136 : 694,536 = 694,536 : x
  2. Step 2: Convert to fraction form
    320,136/694,536 = 694,536/x
  3. Step 3: Cross multiply
    320,136x = 694,536 × 694,536
  4. Step 4: Simplify right side
    320,136x = 482,380,255,296
  5. Step 5: Solve for x
    x = 482,380,255,296/320,136
  6. Step 6: Final answer
    x = 1,506,797.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.