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Finding the Third Proportional to 57,565 and 135,695

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Solution

The third proportional to 57,565 and 135,695 is: 319,866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,565 : 135,695 = 135,695 : x
  2. Step 2: Convert to fraction form
    57,565/135,695 = 135,695/x
  3. Step 3: Cross multiply
    57,565x = 135,695 × 135,695
  4. Step 4: Simplify right side
    57,565x = 18,413,133,025
  5. Step 5: Solve for x
    x = 18,413,133,025/57,565
  6. Step 6: Final answer
    x = 319,866.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.