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Finding the Third Proportional to 117,620 and 256,388

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Solution

The third proportional to 117,620 and 256,388 is: 558,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,620 : 256,388 = 256,388 : x
  2. Step 2: Convert to fraction form
    117,620/256,388 = 256,388/x
  3. Step 3: Cross multiply
    117,620x = 256,388 × 256,388
  4. Step 4: Simplify right side
    117,620x = 65,734,806,544
  5. Step 5: Solve for x
    x = 65,734,806,544/117,620
  6. Step 6: Final answer
    x = 558,874.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.