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Finding the Third Proportional to 299,436.75 and 648,718.88

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Solution

The third proportional to 299,436.75 and 648,718.88 is: 1,405,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,436.75 : 648,718.88 = 648,718.88 : x
  2. Step 2: Convert to fraction form
    299,436.75/648,718.88 = 648,718.88/x
  3. Step 3: Cross multiply
    299,436.75x = 648,718.88 × 648,718.88
  4. Step 4: Simplify right side
    299,436.75x = 420,836,178,781.27
  5. Step 5: Solve for x
    x = 420,836,178,781.27/299,436.75
  6. Step 6: Final answer
    x = 1,405,425.95

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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.