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Finding the Third Proportional to 57,769 and 77,270

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Solution

The third proportional to 57,769 and 77,270 is: 103,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769 : 77,270 = 77,270 : x
  2. Step 2: Convert to fraction form
    57,769/77,270 = 77,270/x
  3. Step 3: Cross multiply
    57,769x = 77,270 × 77,270
  4. Step 4: Simplify right side
    57,769x = 5,970,652,900
  5. Step 5: Solve for x
    x = 5,970,652,900/57,769
  6. Step 6: Final answer
    x = 103,353.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.