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Finding the Third Proportional to 117,280 and 256,420

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Solution

The third proportional to 117,280 and 256,420 is: 560,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,280 : 256,420 = 256,420 : x
  2. Step 2: Convert to fraction form
    117,280/256,420 = 256,420/x
  3. Step 3: Cross multiply
    117,280x = 256,420 × 256,420
  4. Step 4: Simplify right side
    117,280x = 65,751,216,400
  5. Step 5: Solve for x
    x = 65,751,216,400/117,280
  6. Step 6: Final answer
    x = 560,634.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.