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Finding the Third Proportional to 107,720 and 165,356

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Solution

The third proportional to 107,720 and 165,356 is: 253,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,720 : 165,356 = 165,356 : x
  2. Step 2: Convert to fraction form
    107,720/165,356 = 165,356/x
  3. Step 3: Cross multiply
    107,720x = 165,356 × 165,356
  4. Step 4: Simplify right side
    107,720x = 27,342,606,736
  5. Step 5: Solve for x
    x = 27,342,606,736/107,720
  6. Step 6: Final answer
    x = 253,830.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.