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Finding the Third Proportional to 434,603 and 691,540

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Solution

The third proportional to 434,603 and 691,540 is: 1,100,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,603 : 691,540 = 691,540 : x
  2. Step 2: Convert to fraction form
    434,603/691,540 = 691,540/x
  3. Step 3: Cross multiply
    434,603x = 691,540 × 691,540
  4. Step 4: Simplify right side
    434,603x = 478,227,571,600
  5. Step 5: Solve for x
    x = 478,227,571,600/434,603
  6. Step 6: Final answer
    x = 1,100,377.98

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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.