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Finding the Third Proportional to 118,240 and 257,168

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Solution

The third proportional to 118,240 and 257,168 is: 559,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,240 : 257,168 = 257,168 : x
  2. Step 2: Convert to fraction form
    118,240/257,168 = 257,168/x
  3. Step 3: Cross multiply
    118,240x = 257,168 × 257,168
  4. Step 4: Simplify right side
    118,240x = 66,135,380,224
  5. Step 5: Solve for x
    x = 66,135,380,224/118,240
  6. Step 6: Final answer
    x = 559,331.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.