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Finding the Third Proportional to 31,398 and 49,257

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Solution

The third proportional to 31,398 and 49,257 is: 77,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398 : 49,257 = 49,257 : x
  2. Step 2: Convert to fraction form
    31,398/49,257 = 49,257/x
  3. Step 3: Cross multiply
    31,398x = 49,257 × 49,257
  4. Step 4: Simplify right side
    31,398x = 2,426,252,049
  5. Step 5: Solve for x
    x = 2,426,252,049/31,398
  6. Step 6: Final answer
    x = 77,274.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.