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Finding the Third Proportional to 19,800 and 31,574

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Solution

The third proportional to 19,800 and 31,574 is: 50,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800 : 31,574 = 31,574 : x
  2. Step 2: Convert to fraction form
    19,800/31,574 = 31,574/x
  3. Step 3: Cross multiply
    19,800x = 31,574 × 31,574
  4. Step 4: Simplify right side
    19,800x = 996,917,476
  5. Step 5: Solve for x
    x = 996,917,476/19,800
  6. Step 6: Final answer
    x = 50,349.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.