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Finding the Third Proportional to 175,622 and 378,892

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Solution

The third proportional to 175,622 and 378,892 is: 817,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,622 : 378,892 = 378,892 : x
  2. Step 2: Convert to fraction form
    175,622/378,892 = 378,892/x
  3. Step 3: Cross multiply
    175,622x = 378,892 × 378,892
  4. Step 4: Simplify right side
    175,622x = 143,559,147,664
  5. Step 5: Solve for x
    x = 143,559,147,664/175,622
  6. Step 6: Final answer
    x = 817,432.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.