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Finding the Third Proportional to 57,699 and 87,321

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Solution

The third proportional to 57,699 and 87,321 is: 132,150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,699 : 87,321 = 87,321 : x
  2. Step 2: Convert to fraction form
    57,699/87,321 = 87,321/x
  3. Step 3: Cross multiply
    57,699x = 87,321 × 87,321
  4. Step 4: Simplify right side
    57,699x = 7,624,957,041
  5. Step 5: Solve for x
    x = 7,624,957,041/57,699
  6. Step 6: Final answer
    x = 132,150.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.