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Finding the Third Proportional to 117,280 and 256,069

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Solution

The third proportional to 117,280 and 256,069 is: 559,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,280 : 256,069 = 256,069 : x
  2. Step 2: Convert to fraction form
    117,280/256,069 = 256,069/x
  3. Step 3: Cross multiply
    117,280x = 256,069 × 256,069
  4. Step 4: Simplify right side
    117,280x = 65,571,332,761
  5. Step 5: Solve for x
    x = 65,571,332,761/117,280
  6. Step 6: Final answer
    x = 559,100.72

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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.