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Finding the Third Proportional to 19,782 and 28,827

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Solution

The third proportional to 19,782 and 28,827 is: 42,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782 : 28,827 = 28,827 : x
  2. Step 2: Convert to fraction form
    19,782/28,827 = 28,827/x
  3. Step 3: Cross multiply
    19,782x = 28,827 × 28,827
  4. Step 4: Simplify right side
    19,782x = 830,995,929
  5. Step 5: Solve for x
    x = 830,995,929/19,782
  6. Step 6: Final answer
    x = 42,007.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.