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Finding the Third Proportional to 90,008 and 208,376

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Solution

The third proportional to 90,008 and 208,376 is: 482,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,008 : 208,376 = 208,376 : x
  2. Step 2: Convert to fraction form
    90,008/208,376 = 208,376/x
  3. Step 3: Cross multiply
    90,008x = 208,376 × 208,376
  4. Step 4: Simplify right side
    90,008x = 43,420,557,376
  5. Step 5: Solve for x
    x = 43,420,557,376/90,008
  6. Step 6: Final answer
    x = 482,407.76

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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.