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Finding the Third Proportional to 53,148 and 81,132

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Solution

The third proportional to 53,148 and 81,132 is: 123,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,148 : 81,132 = 81,132 : x
  2. Step 2: Convert to fraction form
    53,148/81,132 = 81,132/x
  3. Step 3: Cross multiply
    53,148x = 81,132 × 81,132
  4. Step 4: Simplify right side
    53,148x = 6,582,401,424
  5. Step 5: Solve for x
    x = 6,582,401,424/53,148
  6. Step 6: Final answer
    x = 123,850.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.