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Finding the Third Proportional to 118,924 and 257,450

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Solution

The third proportional to 118,924 and 257,450 is: 557,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,924 : 257,450 = 257,450 : x
  2. Step 2: Convert to fraction form
    118,924/257,450 = 257,450/x
  3. Step 3: Cross multiply
    118,924x = 257,450 × 257,450
  4. Step 4: Simplify right side
    118,924x = 66,280,502,500
  5. Step 5: Solve for x
    x = 66,280,502,500/118,924
  6. Step 6: Final answer
    x = 557,334.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.