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Finding the Third Proportional to 19,784 and 38,560

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Solution

The third proportional to 19,784 and 38,560 is: 75,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784 : 38,560 = 38,560 : x
  2. Step 2: Convert to fraction form
    19,784/38,560 = 38,560/x
  3. Step 3: Cross multiply
    19,784x = 38,560 × 38,560
  4. Step 4: Simplify right side
    19,784x = 1,486,873,600
  5. Step 5: Solve for x
    x = 1,486,873,600/19,784
  6. Step 6: Final answer
    x = 75,155.36

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.