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Finding the Third Proportional to 108,290 and 165,507

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Solution

The third proportional to 108,290 and 165,507 is: 252,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,290 : 165,507 = 165,507 : x
  2. Step 2: Convert to fraction form
    108,290/165,507 = 165,507/x
  3. Step 3: Cross multiply
    108,290x = 165,507 × 165,507
  4. Step 4: Simplify right side
    108,290x = 27,392,567,049
  5. Step 5: Solve for x
    x = 27,392,567,049/108,290
  6. Step 6: Final answer
    x = 252,955.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.