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Finding the Third Proportional to 20,496 and 28,784

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Solution

The third proportional to 20,496 and 28,784 is: 40,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496 : 28,784 = 28,784 : x
  2. Step 2: Convert to fraction form
    20,496/28,784 = 28,784/x
  3. Step 3: Cross multiply
    20,496x = 28,784 × 28,784
  4. Step 4: Simplify right side
    20,496x = 828,518,656
  5. Step 5: Solve for x
    x = 828,518,656/20,496
  6. Step 6: Final answer
    x = 40,423.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.