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Finding the Third Proportional to 106,520 and 165,621

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Solution

The third proportional to 106,520 and 165,621 is: 257,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,520 : 165,621 = 165,621 : x
  2. Step 2: Convert to fraction form
    106,520/165,621 = 165,621/x
  3. Step 3: Cross multiply
    106,520x = 165,621 × 165,621
  4. Step 4: Simplify right side
    106,520x = 27,430,315,641
  5. Step 5: Solve for x
    x = 27,430,315,641/106,520
  6. Step 6: Final answer
    x = 257,513.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.