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Finding the Third Proportional to 118,920 and 256,957

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Solution

The third proportional to 118,920 and 256,957 is: 555,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,920 : 256,957 = 256,957 : x
  2. Step 2: Convert to fraction form
    118,920/256,957 = 256,957/x
  3. Step 3: Cross multiply
    118,920x = 256,957 × 256,957
  4. Step 4: Simplify right side
    118,920x = 66,026,899,849
  5. Step 5: Solve for x
    x = 66,026,899,849/118,920
  6. Step 6: Final answer
    x = 555,221.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.