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Finding the Third Proportional to 638,324 and 945,161

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Solution

The third proportional to 638,324 and 945,161 is: 1,399,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,324 : 945,161 = 945,161 : x
  2. Step 2: Convert to fraction form
    638,324/945,161 = 945,161/x
  3. Step 3: Cross multiply
    638,324x = 945,161 × 945,161
  4. Step 4: Simplify right side
    638,324x = 893,329,315,921
  5. Step 5: Solve for x
    x = 893,329,315,921/638,324
  6. Step 6: Final answer
    x = 1,399,491.98

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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.