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Finding the Third Proportional to 90,126 and 208,635.75

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Solution

The third proportional to 90,126 and 208,635.75 is: 482,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,126 : 208,635.75 = 208,635.75 : x
  2. Step 2: Convert to fraction form
    90,126/208,635.75 = 208,635.75/x
  3. Step 3: Cross multiply
    90,126x = 208,635.75 × 208,635.75
  4. Step 4: Simplify right side
    90,126x = 43,528,876,178.06
  5. Step 5: Solve for x
    x = 43,528,876,178.06/90,126
  6. Step 6: Final answer
    x = 482,978.01

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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.