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Finding the Third Proportional to 297,890 and 638,424

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Solution

The third proportional to 297,890 and 638,424 is: 1,368,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,890 : 638,424 = 638,424 : x
  2. Step 2: Convert to fraction form
    297,890/638,424 = 638,424/x
  3. Step 3: Cross multiply
    297,890x = 638,424 × 638,424
  4. Step 4: Simplify right side
    297,890x = 407,585,203,776
  5. Step 5: Solve for x
    x = 407,585,203,776/297,890
  6. Step 6: Final answer
    x = 1,368,240.64

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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.