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Finding the Third Proportional to 21,388 and 32,918

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Solution

The third proportional to 21,388 and 32,918 is: 50,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,388 : 32,918 = 32,918 : x
  2. Step 2: Convert to fraction form
    21,388/32,918 = 32,918/x
  3. Step 3: Cross multiply
    21,388x = 32,918 × 32,918
  4. Step 4: Simplify right side
    21,388x = 1,083,594,724
  5. Step 5: Solve for x
    x = 1,083,594,724/21,388
  6. Step 6: Final answer
    x = 50,663.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.