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Finding the Third Proportional to 64,579 and 87,225

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Solution

The third proportional to 64,579 and 87,225 is: 117,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,579 : 87,225 = 87,225 : x
  2. Step 2: Convert to fraction form
    64,579/87,225 = 87,225/x
  3. Step 3: Cross multiply
    64,579x = 87,225 × 87,225
  4. Step 4: Simplify right side
    64,579x = 7,608,200,625
  5. Step 5: Solve for x
    x = 7,608,200,625/64,579
  6. Step 6: Final answer
    x = 117,812.30

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.