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Finding the Third Proportional to 340,764 and 477,837

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Solution

The third proportional to 340,764 and 477,837 is: 670,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,764 : 477,837 = 477,837 : x
  2. Step 2: Convert to fraction form
    340,764/477,837 = 477,837/x
  3. Step 3: Cross multiply
    340,764x = 477,837 × 477,837
  4. Step 4: Simplify right side
    340,764x = 228,328,198,569
  5. Step 5: Solve for x
    x = 228,328,198,569/340,764
  6. Step 6: Final answer
    x = 670,047.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.