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Finding the Third Proportional to 647,458.31 and 1,408,331.81

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Solution

The third proportional to 647,458.31 and 1,408,331.81 is: 3,063,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,458.31 : 1,408,331.81 = 1,408,331.81 : x
  2. Step 2: Convert to fraction form
    647,458.31/1,408,331.81 = 1,408,331.81/x
  3. Step 3: Cross multiply
    647,458.31x = 1,408,331.81 × 1,408,331.81
  4. Step 4: Simplify right side
    647,458.31x = 1,983,398,494,099.54
  5. Step 5: Solve for x
    x = 1,983,398,494,099.54/647,458.31
  6. Step 6: Final answer
    x = 3,063,360.92

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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.