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Finding the Third Proportional to 117,719 and 256,454

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Solution

The third proportional to 117,719 and 256,454 is: 558,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,719 : 256,454 = 256,454 : x
  2. Step 2: Convert to fraction form
    117,719/256,454 = 256,454/x
  3. Step 3: Cross multiply
    117,719x = 256,454 × 256,454
  4. Step 4: Simplify right side
    117,719x = 65,768,654,116
  5. Step 5: Solve for x
    x = 65,768,654,116/117,719
  6. Step 6: Final answer
    x = 558,691.92

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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.