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Finding the Third Proportional to 109,440 and 165,630

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Solution

The third proportional to 109,440 and 165,630 is: 250,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,440 : 165,630 = 165,630 : x
  2. Step 2: Convert to fraction form
    109,440/165,630 = 165,630/x
  3. Step 3: Cross multiply
    109,440x = 165,630 × 165,630
  4. Step 4: Simplify right side
    109,440x = 27,433,296,900
  5. Step 5: Solve for x
    x = 27,433,296,900/109,440
  6. Step 6: Final answer
    x = 250,669.75

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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.