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Finding the Third Proportional to 117,716 and 257,439

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Solution

The third proportional to 117,716 and 257,439 is: 563,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,716 : 257,439 = 257,439 : x
  2. Step 2: Convert to fraction form
    117,716/257,439 = 257,439/x
  3. Step 3: Cross multiply
    117,716x = 257,439 × 257,439
  4. Step 4: Simplify right side
    117,716x = 66,274,838,721
  5. Step 5: Solve for x
    x = 66,274,838,721/117,716
  6. Step 6: Final answer
    x = 563,006.21

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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.