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Finding the Third Proportional to 118,408 and 253,663

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Solution

The third proportional to 118,408 and 253,663 is: 543,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,408 : 253,663 = 253,663 : x
  2. Step 2: Convert to fraction form
    118,408/253,663 = 253,663/x
  3. Step 3: Cross multiply
    118,408x = 253,663 × 253,663
  4. Step 4: Simplify right side
    118,408x = 64,344,917,569
  5. Step 5: Solve for x
    x = 64,344,917,569/118,408
  6. Step 6: Final answer
    x = 543,416.98

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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.