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Finding the Third Proportional to 242,826 and 515,238

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Solution

The third proportional to 242,826 and 515,238 is: 1,093,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,826 : 515,238 = 515,238 : x
  2. Step 2: Convert to fraction form
    242,826/515,238 = 515,238/x
  3. Step 3: Cross multiply
    242,826x = 515,238 × 515,238
  4. Step 4: Simplify right side
    242,826x = 265,470,196,644
  5. Step 5: Solve for x
    x = 265,470,196,644/242,826
  6. Step 6: Final answer
    x = 1,093,252.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.