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Finding the Third Proportional to 242,823 and 515,235

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Solution

The third proportional to 242,823 and 515,235 is: 1,093,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,823 : 515,235 = 515,235 : x
  2. Step 2: Convert to fraction form
    242,823/515,235 = 515,235/x
  3. Step 3: Cross multiply
    242,823x = 515,235 × 515,235
  4. Step 4: Simplify right side
    242,823x = 265,467,105,225
  5. Step 5: Solve for x
    x = 265,467,105,225/242,823
  6. Step 6: Final answer
    x = 1,093,253.54

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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.