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Finding the Third Proportional to 19,980 and 28,376

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Solution

The third proportional to 19,980 and 28,376 is: 40,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980 : 28,376 = 28,376 : x
  2. Step 2: Convert to fraction form
    19,980/28,376 = 28,376/x
  3. Step 3: Cross multiply
    19,980x = 28,376 × 28,376
  4. Step 4: Simplify right side
    19,980x = 805,197,376
  5. Step 5: Solve for x
    x = 805,197,376/19,980
  6. Step 6: Final answer
    x = 40,300.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.