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Finding the Third Proportional to 434,640 and 691,596

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Solution

The third proportional to 434,640 and 691,596 is: 1,100,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,640 : 691,596 = 691,596 : x
  2. Step 2: Convert to fraction form
    434,640/691,596 = 691,596/x
  3. Step 3: Cross multiply
    434,640x = 691,596 × 691,596
  4. Step 4: Simplify right side
    434,640x = 478,305,027,216
  5. Step 5: Solve for x
    x = 478,305,027,216/434,640
  6. Step 6: Final answer
    x = 1,100,462.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.