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Finding the Third Proportional to 115,258 and 239,696

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Solution

The third proportional to 115,258 and 239,696 is: 498,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,258 : 239,696 = 239,696 : x
  2. Step 2: Convert to fraction form
    115,258/239,696 = 239,696/x
  3. Step 3: Cross multiply
    115,258x = 239,696 × 239,696
  4. Step 4: Simplify right side
    115,258x = 57,454,172,416
  5. Step 5: Solve for x
    x = 57,454,172,416/115,258
  6. Step 6: Final answer
    x = 498,483.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.