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Finding the Third Proportional to 124,200 and 270,009

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Solution

The third proportional to 124,200 and 270,009 is: 586,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,200 : 270,009 = 270,009 : x
  2. Step 2: Convert to fraction form
    124,200/270,009 = 270,009/x
  3. Step 3: Cross multiply
    124,200x = 270,009 × 270,009
  4. Step 4: Simplify right side
    124,200x = 72,904,860,081
  5. Step 5: Solve for x
    x = 72,904,860,081/124,200
  6. Step 6: Final answer
    x = 586,995.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.