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Finding the Third Proportional to 56,789 and 124,999

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Solution

The third proportional to 56,789 and 124,999 is: 275,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,789 : 124,999 = 124,999 : x
  2. Step 2: Convert to fraction form
    56,789/124,999 = 124,999/x
  3. Step 3: Cross multiply
    56,789x = 124,999 × 124,999
  4. Step 4: Simplify right side
    56,789x = 15,624,750,001
  5. Step 5: Solve for x
    x = 15,624,750,001/56,789
  6. Step 6: Final answer
    x = 275,136.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.