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Finding the Third Proportional to 77,277 and 178,909.50

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Solution

The third proportional to 77,277 and 178,909.50 is: 414,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,277 : 178,909.50 = 178,909.50 : x
  2. Step 2: Convert to fraction form
    77,277/178,909.50 = 178,909.50/x
  3. Step 3: Cross multiply
    77,277x = 178,909.50 × 178,909.50
  4. Step 4: Simplify right side
    77,277x = 32,008,609,190.25
  5. Step 5: Solve for x
    x = 32,008,609,190.25/77,277
  6. Step 6: Final answer
    x = 414,206.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.