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Finding the Third Proportional to 103,422 and 165,931

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Solution

The third proportional to 103,422 and 165,931 is: 266,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,422 : 165,931 = 165,931 : x
  2. Step 2: Convert to fraction form
    103,422/165,931 = 165,931/x
  3. Step 3: Cross multiply
    103,422x = 165,931 × 165,931
  4. Step 4: Simplify right side
    103,422x = 27,533,096,761
  5. Step 5: Solve for x
    x = 27,533,096,761/103,422
  6. Step 6: Final answer
    x = 266,220.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.