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Finding the Third Proportional to 118,705.50 and 256,138.88

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Solution

The third proportional to 118,705.50 and 256,138.88 is: 552,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,705.50 : 256,138.88 = 256,138.88 : x
  2. Step 2: Convert to fraction form
    118,705.50/256,138.88 = 256,138.88/x
  3. Step 3: Cross multiply
    118,705.50x = 256,138.88 × 256,138.88
  4. Step 4: Simplify right side
    118,705.50x = 65,607,123,286.27
  5. Step 5: Solve for x
    x = 65,607,123,286.27/118,705.50
  6. Step 6: Final answer
    x = 552,688.15

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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.