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Finding the Third Proportional to 290,466 and 638,208

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Solution

The third proportional to 290,466 and 638,208 is: 1,402,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,466 : 638,208 = 638,208 : x
  2. Step 2: Convert to fraction form
    290,466/638,208 = 638,208/x
  3. Step 3: Cross multiply
    290,466x = 638,208 × 638,208
  4. Step 4: Simplify right side
    290,466x = 407,309,451,264
  5. Step 5: Solve for x
    x = 407,309,451,264/290,466
  6. Step 6: Final answer
    x = 1,402,262.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.