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Finding the Third Proportional to 10,288 and 14,852

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Solution

The third proportional to 10,288 and 14,852 is: 21,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288 : 14,852 = 14,852 : x
  2. Step 2: Convert to fraction form
    10,288/14,852 = 14,852/x
  3. Step 3: Cross multiply
    10,288x = 14,852 × 14,852
  4. Step 4: Simplify right side
    10,288x = 220,581,904
  5. Step 5: Solve for x
    x = 220,581,904/10,288
  6. Step 6: Final answer
    x = 21,440.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.