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Finding the Third Proportional to 51,909.75 and 79,578.25

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Solution

The third proportional to 51,909.75 and 79,578.25 is: 121,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,909.75 : 79,578.25 = 79,578.25 : x
  2. Step 2: Convert to fraction form
    51,909.75/79,578.25 = 79,578.25/x
  3. Step 3: Cross multiply
    51,909.75x = 79,578.25 × 79,578.25
  4. Step 4: Simplify right side
    51,909.75x = 6,332,697,873.06
  5. Step 5: Solve for x
    x = 6,332,697,873.06/51,909.75
  6. Step 6: Final answer
    x = 121,994.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.