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Finding the Third Proportional to 90,127.88 and 208,639.88

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Solution

The third proportional to 90,127.88 and 208,639.88 is: 482,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,127.88 : 208,639.88 = 208,639.88 : x
  2. Step 2: Convert to fraction form
    90,127.88/208,639.88 = 208,639.88/x
  3. Step 3: Cross multiply
    90,127.88x = 208,639.88 × 208,639.88
  4. Step 4: Simplify right side
    90,127.88x = 43,530,597,440.02
  5. Step 5: Solve for x
    x = 43,530,597,440.02/90,127.88
  6. Step 6: Final answer
    x = 482,987.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.