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Finding the Third Proportional to 90,132 and 208,649

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Solution

The third proportional to 90,132 and 208,649 is: 483,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,132 : 208,649 = 208,649 : x
  2. Step 2: Convert to fraction form
    90,132/208,649 = 208,649/x
  3. Step 3: Cross multiply
    90,132x = 208,649 × 208,649
  4. Step 4: Simplify right side
    90,132x = 43,534,405,201
  5. Step 5: Solve for x
    x = 43,534,405,201/90,132
  6. Step 6: Final answer
    x = 483,007.20

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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.