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Finding the Third Proportional to 299,443.50 and 646,863.75

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Solution

The third proportional to 299,443.50 and 646,863.75 is: 1,397,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,443.50 : 646,863.75 = 646,863.75 : x
  2. Step 2: Convert to fraction form
    299,443.50/646,863.75 = 646,863.75/x
  3. Step 3: Cross multiply
    299,443.50x = 646,863.75 × 646,863.75
  4. Step 4: Simplify right side
    299,443.50x = 418,432,711,064.06
  5. Step 5: Solve for x
    x = 418,432,711,064.06/299,443.50
  6. Step 6: Final answer
    x = 1,397,367.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.