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Finding the Third Proportional to 128,777 and 204,909.50

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Solution

The third proportional to 128,777 and 204,909.50 is: 326,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,777 : 204,909.50 = 204,909.50 : x
  2. Step 2: Convert to fraction form
    128,777/204,909.50 = 204,909.50/x
  3. Step 3: Cross multiply
    128,777x = 204,909.50 × 204,909.50
  4. Step 4: Simplify right side
    128,777x = 41,987,903,190.25
  5. Step 5: Solve for x
    x = 41,987,903,190.25/128,777
  6. Step 6: Final answer
    x = 326,051.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.