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Finding the Third Proportional to 115,357 and 247,115

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Solution

The third proportional to 115,357 and 247,115 is: 529,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,357 : 247,115 = 247,115 : x
  2. Step 2: Convert to fraction form
    115,357/247,115 = 247,115/x
  3. Step 3: Cross multiply
    115,357x = 247,115 × 247,115
  4. Step 4: Simplify right side
    115,357x = 61,065,823,225
  5. Step 5: Solve for x
    x = 61,065,823,225/115,357
  6. Step 6: Final answer
    x = 529,363.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.