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Finding the Third Proportional to 513,686 and 681,603

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Solution

The third proportional to 513,686 and 681,603 is: 904,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,686 : 681,603 = 681,603 : x
  2. Step 2: Convert to fraction form
    513,686/681,603 = 681,603/x
  3. Step 3: Cross multiply
    513,686x = 681,603 × 681,603
  4. Step 4: Simplify right side
    513,686x = 464,582,649,609
  5. Step 5: Solve for x
    x = 464,582,649,609/513,686
  6. Step 6: Final answer
    x = 904,409.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.