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Finding the Third Proportional to 118,420 and 254,408

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Solution

The third proportional to 118,420 and 254,408 is: 546,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,420 : 254,408 = 254,408 : x
  2. Step 2: Convert to fraction form
    118,420/254,408 = 254,408/x
  3. Step 3: Cross multiply
    118,420x = 254,408 × 254,408
  4. Step 4: Simplify right side
    118,420x = 64,723,430,464
  5. Step 5: Solve for x
    x = 64,723,430,464/118,420
  6. Step 6: Final answer
    x = 546,558.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.