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Finding the Third Proportional to 352,536 and 687,360

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Solution

The third proportional to 352,536 and 687,360 is: 1,340,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,536 : 687,360 = 687,360 : x
  2. Step 2: Convert to fraction form
    352,536/687,360 = 687,360/x
  3. Step 3: Cross multiply
    352,536x = 687,360 × 687,360
  4. Step 4: Simplify right side
    352,536x = 472,463,769,600
  5. Step 5: Solve for x
    x = 472,463,769,600/352,536
  6. Step 6: Final answer
    x = 1,340,185.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.