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Finding the Third Proportional to 77,958 and 120,609

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Solution

The third proportional to 77,958 and 120,609 is: 186,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,958 : 120,609 = 120,609 : x
  2. Step 2: Convert to fraction form
    77,958/120,609 = 120,609/x
  3. Step 3: Cross multiply
    77,958x = 120,609 × 120,609
  4. Step 4: Simplify right side
    77,958x = 14,546,530,881
  5. Step 5: Solve for x
    x = 14,546,530,881/77,958
  6. Step 6: Final answer
    x = 186,594.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.