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Finding the Third Proportional to 109,478 and 165,000

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Solution

The third proportional to 109,478 and 165,000 is: 248,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,478 : 165,000 = 165,000 : x
  2. Step 2: Convert to fraction form
    109,478/165,000 = 165,000/x
  3. Step 3: Cross multiply
    109,478x = 165,000 × 165,000
  4. Step 4: Simplify right side
    109,478x = 27,225,000,000
  5. Step 5: Solve for x
    x = 27,225,000,000/109,478
  6. Step 6: Final answer
    x = 248,680.10

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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.