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Finding the Third Proportional to 111,969 and 159,417

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Solution

The third proportional to 111,969 and 159,417 is: 226,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,969 : 159,417 = 159,417 : x
  2. Step 2: Convert to fraction form
    111,969/159,417 = 159,417/x
  3. Step 3: Cross multiply
    111,969x = 159,417 × 159,417
  4. Step 4: Simplify right side
    111,969x = 25,413,779,889
  5. Step 5: Solve for x
    x = 25,413,779,889/111,969
  6. Step 6: Final answer
    x = 226,971.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.