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Finding the Third Proportional to 442,249 and 701,405

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Solution

The third proportional to 442,249 and 701,405 is: 1,112,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,249 : 701,405 = 701,405 : x
  2. Step 2: Convert to fraction form
    442,249/701,405 = 701,405/x
  3. Step 3: Cross multiply
    442,249x = 701,405 × 701,405
  4. Step 4: Simplify right side
    442,249x = 491,968,974,025
  5. Step 5: Solve for x
    x = 491,968,974,025/442,249
  6. Step 6: Final answer
    x = 1,112,425.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.