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Finding the Third Proportional to 85,086 and 121,788

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Solution

The third proportional to 85,086 and 121,788 is: 174,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,086 : 121,788 = 121,788 : x
  2. Step 2: Convert to fraction form
    85,086/121,788 = 121,788/x
  3. Step 3: Cross multiply
    85,086x = 121,788 × 121,788
  4. Step 4: Simplify right side
    85,086x = 14,832,316,944
  5. Step 5: Solve for x
    x = 14,832,316,944/85,086
  6. Step 6: Final answer
    x = 174,321.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.