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Finding the Third Proportional to 118,592 and 256,864

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Solution

The third proportional to 118,592 and 256,864 is: 556,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,592 : 256,864 = 256,864 : x
  2. Step 2: Convert to fraction form
    118,592/256,864 = 256,864/x
  3. Step 3: Cross multiply
    118,592x = 256,864 × 256,864
  4. Step 4: Simplify right side
    118,592x = 65,979,114,496
  5. Step 5: Solve for x
    x = 65,979,114,496/118,592
  6. Step 6: Final answer
    x = 556,353.84

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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.