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Finding the Third Proportional to 11,477 and 15,445

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Solution

The third proportional to 11,477 and 15,445 is: 20,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477 : 15,445 = 15,445 : x
  2. Step 2: Convert to fraction form
    11,477/15,445 = 15,445/x
  3. Step 3: Cross multiply
    11,477x = 15,445 × 15,445
  4. Step 4: Simplify right side
    11,477x = 238,548,025
  5. Step 5: Solve for x
    x = 238,548,025/11,477
  6. Step 6: Final answer
    x = 20,784.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.