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Finding the Third Proportional to 305,101.69 and 663,716.53

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Solution

The third proportional to 305,101.69 and 663,716.53 is: 1,443,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,101.69 : 663,716.53 = 663,716.53 : x
  2. Step 2: Convert to fraction form
    305,101.69/663,716.53 = 663,716.53/x
  3. Step 3: Cross multiply
    305,101.69x = 663,716.53 × 663,716.53
  4. Step 4: Simplify right side
    305,101.69x = 440,519,633,854.53
  5. Step 5: Solve for x
    x = 440,519,633,854.53/305,101.69
  6. Step 6: Final answer
    x = 1,443,845.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.