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Finding the Third Proportional to 297,888 and 638,418

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Solution

The third proportional to 297,888 and 638,418 is: 1,368,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,888 : 638,418 = 638,418 : x
  2. Step 2: Convert to fraction form
    297,888/638,418 = 638,418/x
  3. Step 3: Cross multiply
    297,888x = 638,418 × 638,418
  4. Step 4: Simplify right side
    297,888x = 407,577,542,724
  5. Step 5: Solve for x
    x = 407,577,542,724/297,888
  6. Step 6: Final answer
    x = 1,368,224.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.