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Finding the Third Proportional to 299,029.50 and 656,187.75

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Solution

The third proportional to 299,029.50 and 656,187.75 is: 1,439,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,029.50 : 656,187.75 = 656,187.75 : x
  2. Step 2: Convert to fraction form
    299,029.50/656,187.75 = 656,187.75/x
  3. Step 3: Cross multiply
    299,029.50x = 656,187.75 × 656,187.75
  4. Step 4: Simplify right side
    299,029.50x = 430,582,363,250.06
  5. Step 5: Solve for x
    x = 430,582,363,250.06/299,029.50
  6. Step 6: Final answer
    x = 1,439,932.73

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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.