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Finding the Third Proportional to 305,236.69 and 663,001.88

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Solution

The third proportional to 305,236.69 and 663,001.88 is: 1,440,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,236.69 : 663,001.88 = 663,001.88 : x
  2. Step 2: Convert to fraction form
    305,236.69/663,001.88 = 663,001.88/x
  3. Step 3: Cross multiply
    305,236.69x = 663,001.88 × 663,001.88
  4. Step 4: Simplify right side
    305,236.69x = 439,571,486,253.52
  5. Step 5: Solve for x
    x = 439,571,486,253.52/305,236.69
  6. Step 6: Final answer
    x = 1,440,100.43

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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.