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Finding the Third Proportional to 117,418 and 219,260

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Solution

The third proportional to 117,418 and 219,260 is: 409,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,418 : 219,260 = 219,260 : x
  2. Step 2: Convert to fraction form
    117,418/219,260 = 219,260/x
  3. Step 3: Cross multiply
    117,418x = 219,260 × 219,260
  4. Step 4: Simplify right side
    117,418x = 48,074,947,600
  5. Step 5: Solve for x
    x = 48,074,947,600/117,418
  6. Step 6: Final answer
    x = 409,434.22

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.