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Finding the Third Proportional to 120,110 and 186,969

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Solution

The third proportional to 120,110 and 186,969 is: 291,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,110 : 186,969 = 186,969 : x
  2. Step 2: Convert to fraction form
    120,110/186,969 = 186,969/x
  3. Step 3: Cross multiply
    120,110x = 186,969 × 186,969
  4. Step 4: Simplify right side
    120,110x = 34,957,406,961
  5. Step 5: Solve for x
    x = 34,957,406,961/120,110
  6. Step 6: Final answer
    x = 291,044.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.