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Finding the Third Proportional to 90,883 and 138,784.75

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Solution

The third proportional to 90,883 and 138,784.75 is: 211,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,883 : 138,784.75 = 138,784.75 : x
  2. Step 2: Convert to fraction form
    90,883/138,784.75 = 138,784.75/x
  3. Step 3: Cross multiply
    90,883x = 138,784.75 × 138,784.75
  4. Step 4: Simplify right side
    90,883x = 19,261,206,832.56
  5. Step 5: Solve for x
    x = 19,261,206,832.56/90,883
  6. Step 6: Final answer
    x = 211,934.10

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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.