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Finding the Third Proportional to 109,761 and 165,507

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Solution

The third proportional to 109,761 and 165,507 is: 249,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,761 : 165,507 = 165,507 : x
  2. Step 2: Convert to fraction form
    109,761/165,507 = 165,507/x
  3. Step 3: Cross multiply
    109,761x = 165,507 × 165,507
  4. Step 4: Simplify right side
    109,761x = 27,392,567,049
  5. Step 5: Solve for x
    x = 27,392,567,049/109,761
  6. Step 6: Final answer
    x = 249,565.57

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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.