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Finding the Third Proportional to 129,753 and 165,786

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Solution

The third proportional to 129,753 and 165,786 is: 211,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,753 : 165,786 = 165,786 : x
  2. Step 2: Convert to fraction form
    129,753/165,786 = 165,786/x
  3. Step 3: Cross multiply
    129,753x = 165,786 × 165,786
  4. Step 4: Simplify right side
    129,753x = 27,484,997,796
  5. Step 5: Solve for x
    x = 27,484,997,796/129,753
  6. Step 6: Final answer
    x = 211,825.53

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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.