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Finding the Third Proportional to 18,478 and 35,254

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Solution

The third proportional to 18,478 and 35,254 is: 67,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,478 : 35,254 = 35,254 : x
  2. Step 2: Convert to fraction form
    18,478/35,254 = 35,254/x
  3. Step 3: Cross multiply
    18,478x = 35,254 × 35,254
  4. Step 4: Simplify right side
    18,478x = 1,242,844,516
  5. Step 5: Solve for x
    x = 1,242,844,516/18,478
  6. Step 6: Final answer
    x = 67,260.77

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.