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Finding the Third Proportional to 296,499 and 638,027

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Solution

The third proportional to 296,499 and 638,027 is: 1,372,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,499 : 638,027 = 638,027 : x
  2. Step 2: Convert to fraction form
    296,499/638,027 = 638,027/x
  3. Step 3: Cross multiply
    296,499x = 638,027 × 638,027
  4. Step 4: Simplify right side
    296,499x = 407,078,452,729
  5. Step 5: Solve for x
    x = 407,078,452,729/296,499
  6. Step 6: Final answer
    x = 1,372,950.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.