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Finding the Third Proportional to 56,212 and 84,687

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Solution

The third proportional to 56,212 and 84,687 is: 127,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,212 : 84,687 = 84,687 : x
  2. Step 2: Convert to fraction form
    56,212/84,687 = 84,687/x
  3. Step 3: Cross multiply
    56,212x = 84,687 × 84,687
  4. Step 4: Simplify right side
    56,212x = 7,171,887,969
  5. Step 5: Solve for x
    x = 7,171,887,969/56,212
  6. Step 6: Final answer
    x = 127,586.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.