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Finding the Third Proportional to 90,009 and 208,377

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Solution

The third proportional to 90,009 and 208,377 is: 482,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,009 : 208,377 = 208,377 : x
  2. Step 2: Convert to fraction form
    90,009/208,377 = 208,377/x
  3. Step 3: Cross multiply
    90,009x = 208,377 × 208,377
  4. Step 4: Simplify right side
    90,009x = 43,420,974,129
  5. Step 5: Solve for x
    x = 43,420,974,129/90,009
  6. Step 6: Final answer
    x = 482,407.03

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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.