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Finding the Third Proportional to 117,982 and 256,700

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Solution

The third proportional to 117,982 and 256,700 is: 558,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,982 : 256,700 = 256,700 : x
  2. Step 2: Convert to fraction form
    117,982/256,700 = 256,700/x
  3. Step 3: Cross multiply
    117,982x = 256,700 × 256,700
  4. Step 4: Simplify right side
    117,982x = 65,894,890,000
  5. Step 5: Solve for x
    x = 65,894,890,000/117,982
  6. Step 6: Final answer
    x = 558,516.47

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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.