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Finding the Third Proportional to 56,285 and 85,588

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Solution

The third proportional to 56,285 and 85,588 is: 130,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,285 : 85,588 = 85,588 : x
  2. Step 2: Convert to fraction form
    56,285/85,588 = 85,588/x
  3. Step 3: Cross multiply
    56,285x = 85,588 × 85,588
  4. Step 4: Simplify right side
    56,285x = 7,325,305,744
  5. Step 5: Solve for x
    x = 7,325,305,744/56,285
  6. Step 6: Final answer
    x = 130,146.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.