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Finding the Third Proportional to 32,481 and 73,362

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Solution

The third proportional to 32,481 and 73,362 is: 165,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481 : 73,362 = 73,362 : x
  2. Step 2: Convert to fraction form
    32,481/73,362 = 73,362/x
  3. Step 3: Cross multiply
    32,481x = 73,362 × 73,362
  4. Step 4: Simplify right side
    32,481x = 5,381,983,044
  5. Step 5: Solve for x
    x = 5,381,983,044/32,481
  6. Step 6: Final answer
    x = 165,696.35

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.