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Finding the Third Proportional to 314,486 and 664,468

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Solution

The third proportional to 314,486 and 664,468 is: 1,403,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,486 : 664,468 = 664,468 : x
  2. Step 2: Convert to fraction form
    314,486/664,468 = 664,468/x
  3. Step 3: Cross multiply
    314,486x = 664,468 × 664,468
  4. Step 4: Simplify right side
    314,486x = 441,517,723,024
  5. Step 5: Solve for x
    x = 441,517,723,024/314,486
  6. Step 6: Final answer
    x = 1,403,934.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.