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Finding the Third Proportional to 109,760 and 165,440

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Solution

The third proportional to 109,760 and 165,440 is: 249,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,760 : 165,440 = 165,440 : x
  2. Step 2: Convert to fraction form
    109,760/165,440 = 165,440/x
  3. Step 3: Cross multiply
    109,760x = 165,440 × 165,440
  4. Step 4: Simplify right side
    109,760x = 27,370,393,600
  5. Step 5: Solve for x
    x = 27,370,393,600/109,760
  6. Step 6: Final answer
    x = 249,365.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.