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Finding the Third Proportional to 449,418 and 632,138

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Solution

The third proportional to 449,418 and 632,138 is: 889,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,418 : 632,138 = 632,138 : x
  2. Step 2: Convert to fraction form
    449,418/632,138 = 632,138/x
  3. Step 3: Cross multiply
    449,418x = 632,138 × 632,138
  4. Step 4: Simplify right side
    449,418x = 399,598,451,044
  5. Step 5: Solve for x
    x = 399,598,451,044/449,418
  6. Step 6: Final answer
    x = 889,146.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.