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Finding the Third Proportional to 389,536 and 608,907

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Solution

The third proportional to 389,536 and 608,907 is: 951,818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,536 : 608,907 = 608,907 : x
  2. Step 2: Convert to fraction form
    389,536/608,907 = 608,907/x
  3. Step 3: Cross multiply
    389,536x = 608,907 × 608,907
  4. Step 4: Simplify right side
    389,536x = 370,767,734,649
  5. Step 5: Solve for x
    x = 370,767,734,649/389,536
  6. Step 6: Final answer
    x = 951,818.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.