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Finding the Third Proportional to 301,851.75 and 656,118.75

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Solution

The third proportional to 301,851.75 and 656,118.75 is: 1,426,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,851.75 : 656,118.75 = 656,118.75 : x
  2. Step 2: Convert to fraction form
    301,851.75/656,118.75 = 656,118.75/x
  3. Step 3: Cross multiply
    301,851.75x = 656,118.75 × 656,118.75
  4. Step 4: Simplify right side
    301,851.75x = 430,491,814,101.56
  5. Step 5: Solve for x
    x = 430,491,814,101.56/301,851.75
  6. Step 6: Final answer
    x = 1,426,169.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.