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Finding the Third Proportional to 293,178 and 638,817

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Solution

The third proportional to 293,178 and 638,817 is: 1,391,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,178 : 638,817 = 638,817 : x
  2. Step 2: Convert to fraction form
    293,178/638,817 = 638,817/x
  3. Step 3: Cross multiply
    293,178x = 638,817 × 638,817
  4. Step 4: Simplify right side
    293,178x = 408,087,159,489
  5. Step 5: Solve for x
    x = 408,087,159,489/293,178
  6. Step 6: Final answer
    x = 1,391,943.32

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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.