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Finding the Third Proportional to 8,445 and 20,319

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Solution

The third proportional to 8,445 and 20,319 is: 48,888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445 : 20,319 = 20,319 : x
  2. Step 2: Convert to fraction form
    8,445/20,319 = 20,319/x
  3. Step 3: Cross multiply
    8,445x = 20,319 × 20,319
  4. Step 4: Simplify right side
    8,445x = 412,861,761
  5. Step 5: Solve for x
    x = 412,861,761/8,445
  6. Step 6: Final answer
    x = 48,888.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.