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Finding the Third Proportional to 19,790 and 31,557

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Solution

The third proportional to 19,790 and 31,557 is: 50,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,790 : 31,557 = 31,557 : x
  2. Step 2: Convert to fraction form
    19,790/31,557 = 31,557/x
  3. Step 3: Cross multiply
    19,790x = 31,557 × 31,557
  4. Step 4: Simplify right side
    19,790x = 995,844,249
  5. Step 5: Solve for x
    x = 995,844,249/19,790
  6. Step 6: Final answer
    x = 50,320.58

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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.