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Finding the Third Proportional to 118,408 and 253,660

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Solution

The third proportional to 118,408 and 253,660 is: 543,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,408 : 253,660 = 253,660 : x
  2. Step 2: Convert to fraction form
    118,408/253,660 = 253,660/x
  3. Step 3: Cross multiply
    118,408x = 253,660 × 253,660
  4. Step 4: Simplify right side
    118,408x = 64,343,395,600
  5. Step 5: Solve for x
    x = 64,343,395,600/118,408
  6. Step 6: Final answer
    x = 543,404.12

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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.