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Finding the Third Proportional to 638,328 and 945,167

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Solution

The third proportional to 638,328 and 945,167 is: 1,399,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,328 : 945,167 = 945,167 : x
  2. Step 2: Convert to fraction form
    638,328/945,167 = 945,167/x
  3. Step 3: Cross multiply
    638,328x = 945,167 × 945,167
  4. Step 4: Simplify right side
    638,328x = 893,340,657,889
  5. Step 5: Solve for x
    x = 893,340,657,889/638,328
  6. Step 6: Final answer
    x = 1,399,500.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.