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Finding the Third Proportional to 129,610 and 165,619

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Solution

The third proportional to 129,610 and 165,619 is: 211,632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,610 : 165,619 = 165,619 : x
  2. Step 2: Convert to fraction form
    129,610/165,619 = 165,619/x
  3. Step 3: Cross multiply
    129,610x = 165,619 × 165,619
  4. Step 4: Simplify right side
    129,610x = 27,429,653,161
  5. Step 5: Solve for x
    x = 27,429,653,161/129,610
  6. Step 6: Final answer
    x = 211,632.23

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.