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Finding the Third Proportional to 118,293 and 256,551

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Solution

The third proportional to 118,293 and 256,551 is: 556,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,293 : 256,551 = 256,551 : x
  2. Step 2: Convert to fraction form
    118,293/256,551 = 256,551/x
  3. Step 3: Cross multiply
    118,293x = 256,551 × 256,551
  4. Step 4: Simplify right side
    118,293x = 65,818,415,601
  5. Step 5: Solve for x
    x = 65,818,415,601/118,293
  6. Step 6: Final answer
    x = 556,401.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.