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Finding the Third Proportional to 118,942 and 257,481

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Solution

The third proportional to 118,942 and 257,481 is: 557,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,942 : 257,481 = 257,481 : x
  2. Step 2: Convert to fraction form
    118,942/257,481 = 257,481/x
  3. Step 3: Cross multiply
    118,942x = 257,481 × 257,481
  4. Step 4: Simplify right side
    118,942x = 66,296,465,361
  5. Step 5: Solve for x
    x = 66,296,465,361/118,942
  6. Step 6: Final answer
    x = 557,384.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.