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Finding the Third Proportional to 263,408 and 418,440

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Solution

The third proportional to 263,408 and 418,440 is: 664,717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,408 : 418,440 = 418,440 : x
  2. Step 2: Convert to fraction form
    263,408/418,440 = 418,440/x
  3. Step 3: Cross multiply
    263,408x = 418,440 × 418,440
  4. Step 4: Simplify right side
    263,408x = 175,092,033,600
  5. Step 5: Solve for x
    x = 175,092,033,600/263,408
  6. Step 6: Final answer
    x = 664,717.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.