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Finding the Third Proportional to 115,919 and 247,148

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Solution

The third proportional to 115,919 and 247,148 is: 526,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,919 : 247,148 = 247,148 : x
  2. Step 2: Convert to fraction form
    115,919/247,148 = 247,148/x
  3. Step 3: Cross multiply
    115,919x = 247,148 × 247,148
  4. Step 4: Simplify right side
    115,919x = 61,082,133,904
  5. Step 5: Solve for x
    x = 61,082,133,904/115,919
  6. Step 6: Final answer
    x = 526,938.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.