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Finding the Third Proportional to 20,896 and 29,712

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Solution

The third proportional to 20,896 and 29,712 is: 42,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896 : 29,712 = 29,712 : x
  2. Step 2: Convert to fraction form
    20,896/29,712 = 29,712/x
  3. Step 3: Cross multiply
    20,896x = 29,712 × 29,712
  4. Step 4: Simplify right side
    20,896x = 882,802,944
  5. Step 5: Solve for x
    x = 882,802,944/20,896
  6. Step 6: Final answer
    x = 42,247.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.