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Finding the Third Proportional to 165,981 and 251,478

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Solution

The third proportional to 165,981 and 251,478 is: 381,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,981 : 251,478 = 251,478 : x
  2. Step 2: Convert to fraction form
    165,981/251,478 = 251,478/x
  3. Step 3: Cross multiply
    165,981x = 251,478 × 251,478
  4. Step 4: Simplify right side
    165,981x = 63,241,184,484
  5. Step 5: Solve for x
    x = 63,241,184,484/165,981
  6. Step 6: Final answer
    x = 381,014.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.