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Finding the Third Proportional to 32,408 and 53,796

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Solution

The third proportional to 32,408 and 53,796 is: 89,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408 : 53,796 = 53,796 : x
  2. Step 2: Convert to fraction form
    32,408/53,796 = 53,796/x
  3. Step 3: Cross multiply
    32,408x = 53,796 × 53,796
  4. Step 4: Simplify right side
    32,408x = 2,894,009,616
  5. Step 5: Solve for x
    x = 2,894,009,616/32,408
  6. Step 6: Final answer
    x = 89,299.24

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.