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Finding the Third Proportional to 442,139 and 667,411

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Solution

The third proportional to 442,139 and 667,411 is: 1,007,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,139 : 667,411 = 667,411 : x
  2. Step 2: Convert to fraction form
    442,139/667,411 = 667,411/x
  3. Step 3: Cross multiply
    442,139x = 667,411 × 667,411
  4. Step 4: Simplify right side
    442,139x = 445,437,442,921
  5. Step 5: Solve for x
    x = 445,437,442,921/442,139
  6. Step 6: Final answer
    x = 1,007,460.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.