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Finding the Third Proportional to 118,780 and 256,125

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Solution

The third proportional to 118,780 and 256,125 is: 552,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,780 : 256,125 = 256,125 : x
  2. Step 2: Convert to fraction form
    118,780/256,125 = 256,125/x
  3. Step 3: Cross multiply
    118,780x = 256,125 × 256,125
  4. Step 4: Simplify right side
    118,780x = 65,600,015,625
  5. Step 5: Solve for x
    x = 65,600,015,625/118,780
  6. Step 6: Final answer
    x = 552,281.66

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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.