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Finding the Third Proportional to 57,396 and 121,632

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Solution

The third proportional to 57,396 and 121,632 is: 257,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,396 : 121,632 = 121,632 : x
  2. Step 2: Convert to fraction form
    57,396/121,632 = 121,632/x
  3. Step 3: Cross multiply
    57,396x = 121,632 × 121,632
  4. Step 4: Simplify right side
    57,396x = 14,794,343,424
  5. Step 5: Solve for x
    x = 14,794,343,424/57,396
  6. Step 6: Final answer
    x = 257,759.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.