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Finding the Third Proportional to 90,029 and 208,427

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Solution

The third proportional to 90,029 and 208,427 is: 482,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,029 : 208,427 = 208,427 : x
  2. Step 2: Convert to fraction form
    90,029/208,427 = 208,427/x
  3. Step 3: Cross multiply
    90,029x = 208,427 × 208,427
  4. Step 4: Simplify right side
    90,029x = 43,441,814,329
  5. Step 5: Solve for x
    x = 43,441,814,329/90,029
  6. Step 6: Final answer
    x = 482,531.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.