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Finding the Third Proportional to 535,626 and 710,843

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Solution

The third proportional to 535,626 and 710,843 is: 943,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,626 : 710,843 = 710,843 : x
  2. Step 2: Convert to fraction form
    535,626/710,843 = 710,843/x
  3. Step 3: Cross multiply
    535,626x = 710,843 × 710,843
  4. Step 4: Simplify right side
    535,626x = 505,297,770,649
  5. Step 5: Solve for x
    x = 505,297,770,649/535,626
  6. Step 6: Final answer
    x = 943,377.97

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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.