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Finding the Third Proportional to 129,174.75 and 283,810.50

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Solution

The third proportional to 129,174.75 and 283,810.50 is: 623,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,174.75 : 283,810.50 = 283,810.50 : x
  2. Step 2: Convert to fraction form
    129,174.75/283,810.50 = 283,810.50/x
  3. Step 3: Cross multiply
    129,174.75x = 283,810.50 × 283,810.50
  4. Step 4: Simplify right side
    129,174.75x = 80,548,399,910.25
  5. Step 5: Solve for x
    x = 80,548,399,910.25/129,174.75
  6. Step 6: Final answer
    x = 623,561.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.