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Finding the Third Proportional to 57,069 and 85,777

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Solution

The third proportional to 57,069 and 85,777 is: 128,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,069 : 85,777 = 85,777 : x
  2. Step 2: Convert to fraction form
    57,069/85,777 = 85,777/x
  3. Step 3: Cross multiply
    57,069x = 85,777 × 85,777
  4. Step 4: Simplify right side
    57,069x = 7,357,693,729
  5. Step 5: Solve for x
    x = 7,357,693,729/57,069
  6. Step 6: Final answer
    x = 128,926.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.