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Finding the Third Proportional to 85,577 and 128,631

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Solution

The third proportional to 85,577 and 128,631 is: 193,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,577 : 128,631 = 128,631 : x
  2. Step 2: Convert to fraction form
    85,577/128,631 = 128,631/x
  3. Step 3: Cross multiply
    85,577x = 128,631 × 128,631
  4. Step 4: Simplify right side
    85,577x = 16,545,934,161
  5. Step 5: Solve for x
    x = 16,545,934,161/85,577
  6. Step 6: Final answer
    x = 193,345.57

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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.