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Finding the Third Proportional to 293,172 and 638,805

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Solution

The third proportional to 293,172 and 638,805 is: 1,391,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,172 : 638,805 = 638,805 : x
  2. Step 2: Convert to fraction form
    293,172/638,805 = 638,805/x
  3. Step 3: Cross multiply
    293,172x = 638,805 × 638,805
  4. Step 4: Simplify right side
    293,172x = 408,071,828,025
  5. Step 5: Solve for x
    x = 408,071,828,025/293,172
  6. Step 6: Final answer
    x = 1,391,919.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.