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Finding the Third Proportional to 19,982 and 31,370

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Solution

The third proportional to 19,982 and 31,370 is: 49,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982 : 31,370 = 31,370 : x
  2. Step 2: Convert to fraction form
    19,982/31,370 = 31,370/x
  3. Step 3: Cross multiply
    19,982x = 31,370 × 31,370
  4. Step 4: Simplify right side
    19,982x = 984,076,900
  5. Step 5: Solve for x
    x = 984,076,900/19,982
  6. Step 6: Final answer
    x = 49,248.17

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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.