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Finding the Third Proportional to 129,069 and 283,069.13

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Solution

The third proportional to 129,069 and 283,069.13 is: 620,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,069 : 283,069.13 = 283,069.13 : x
  2. Step 2: Convert to fraction form
    129,069/283,069.13 = 283,069.13/x
  3. Step 3: Cross multiply
    129,069x = 283,069.13 × 283,069.13
  4. Step 4: Simplify right side
    129,069x = 80,128,129,528.27
  5. Step 5: Solve for x
    x = 80,128,129,528.27/129,069
  6. Step 6: Final answer
    x = 620,816.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.