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Finding the Third Proportional to 129,697.88 and 283,999.50

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Solution

The third proportional to 129,697.88 and 283,999.50 is: 621,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,697.88 : 283,999.50 = 283,999.50 : x
  2. Step 2: Convert to fraction form
    129,697.88/283,999.50 = 283,999.50/x
  3. Step 3: Cross multiply
    129,697.88x = 283,999.50 × 283,999.50
  4. Step 4: Simplify right side
    129,697.88x = 80,655,716,000.25
  5. Step 5: Solve for x
    x = 80,655,716,000.25/129,697.88
  6. Step 6: Final answer
    x = 621,873.84

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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.