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Finding the Third Proportional to 90,621.75 and 138,318.75

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Solution

The third proportional to 90,621.75 and 138,318.75 is: 211,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,621.75 : 138,318.75 = 138,318.75 : x
  2. Step 2: Convert to fraction form
    90,621.75/138,318.75 = 138,318.75/x
  3. Step 3: Cross multiply
    90,621.75x = 138,318.75 × 138,318.75
  4. Step 4: Simplify right side
    90,621.75x = 19,132,076,601.56
  5. Step 5: Solve for x
    x = 19,132,076,601.56/90,621.75
  6. Step 6: Final answer
    x = 211,120.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.