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Finding the Third Proportional to 124,987 and 274,987

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Solution

The third proportional to 124,987 and 274,987 is: 605,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,987 : 274,987 = 274,987 : x
  2. Step 2: Convert to fraction form
    124,987/274,987 = 274,987/x
  3. Step 3: Cross multiply
    124,987x = 274,987 × 274,987
  4. Step 4: Simplify right side
    124,987x = 75,617,850,169
  5. Step 5: Solve for x
    x = 75,617,850,169/124,987
  6. Step 6: Final answer
    x = 605,005.72

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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.