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Finding the Third Proportional to 97,111 and 131,205

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Solution

The third proportional to 97,111 and 131,205 is: 177,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,111 : 131,205 = 131,205 : x
  2. Step 2: Convert to fraction form
    97,111/131,205 = 131,205/x
  3. Step 3: Cross multiply
    97,111x = 131,205 × 131,205
  4. Step 4: Simplify right side
    97,111x = 17,214,752,025
  5. Step 5: Solve for x
    x = 17,214,752,025/97,111
  6. Step 6: Final answer
    x = 177,268.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.