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Finding the Third Proportional to 19,857 and 39,210

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Solution

The third proportional to 19,857 and 39,210 is: 77,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857 : 39,210 = 39,210 : x
  2. Step 2: Convert to fraction form
    19,857/39,210 = 39,210/x
  3. Step 3: Cross multiply
    19,857x = 39,210 × 39,210
  4. Step 4: Simplify right side
    19,857x = 1,537,424,100
  5. Step 5: Solve for x
    x = 1,537,424,100/19,857
  6. Step 6: Final answer
    x = 77,424.79

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.