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Finding the Third Proportional to 118,974 and 257,550

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Solution

The third proportional to 118,974 and 257,550 is: 557,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,974 : 257,550 = 257,550 : x
  2. Step 2: Convert to fraction form
    118,974/257,550 = 257,550/x
  3. Step 3: Cross multiply
    118,974x = 257,550 × 257,550
  4. Step 4: Simplify right side
    118,974x = 66,332,002,500
  5. Step 5: Solve for x
    x = 66,332,002,500/118,974
  6. Step 6: Final answer
    x = 557,533.60

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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.