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Finding the Third Proportional to 118,553 and 259,236

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Solution

The third proportional to 118,553 and 259,236 is: 566,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,553 : 259,236 = 259,236 : x
  2. Step 2: Convert to fraction form
    118,553/259,236 = 259,236/x
  3. Step 3: Cross multiply
    118,553x = 259,236 × 259,236
  4. Step 4: Simplify right side
    118,553x = 67,203,303,696
  5. Step 5: Solve for x
    x = 67,203,303,696/118,553
  6. Step 6: Final answer
    x = 566,862.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.