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Finding the Third Proportional to 297,912 and 638,468

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Solution

The third proportional to 297,912 and 638,468 is: 1,368,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,912 : 638,468 = 638,468 : x
  2. Step 2: Convert to fraction form
    297,912/638,468 = 638,468/x
  3. Step 3: Cross multiply
    297,912x = 638,468 × 638,468
  4. Step 4: Simplify right side
    297,912x = 407,641,387,024
  5. Step 5: Solve for x
    x = 407,641,387,024/297,912
  6. Step 6: Final answer
    x = 1,368,328.19

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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.