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Finding the Third Proportional to 15,486 and 20,807

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Solution

The third proportional to 15,486 and 20,807 is: 27,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486 : 20,807 = 20,807 : x
  2. Step 2: Convert to fraction form
    15,486/20,807 = 20,807/x
  3. Step 3: Cross multiply
    15,486x = 20,807 × 20,807
  4. Step 4: Simplify right side
    15,486x = 432,931,249
  5. Step 5: Solve for x
    x = 432,931,249/15,486
  6. Step 6: Final answer
    x = 27,956.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.