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Finding the Third Proportional to 117,972 and 256,677

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Solution

The third proportional to 117,972 and 256,677 is: 558,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,972 : 256,677 = 256,677 : x
  2. Step 2: Convert to fraction form
    117,972/256,677 = 256,677/x
  3. Step 3: Cross multiply
    117,972x = 256,677 × 256,677
  4. Step 4: Simplify right side
    117,972x = 65,883,082,329
  5. Step 5: Solve for x
    x = 65,883,082,329/117,972
  6. Step 6: Final answer
    x = 558,463.72

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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.