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Finding the Third Proportional to 8,445 and 17,733

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Solution

The third proportional to 8,445 and 17,733 is: 37,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445 : 17,733 = 17,733 : x
  2. Step 2: Convert to fraction form
    8,445/17,733 = 17,733/x
  3. Step 3: Cross multiply
    8,445x = 17,733 × 17,733
  4. Step 4: Simplify right side
    8,445x = 314,459,289
  5. Step 5: Solve for x
    x = 314,459,289/8,445
  6. Step 6: Final answer
    x = 37,236.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.