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Finding the Third Proportional to 131,258 and 268,053

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Solution

The third proportional to 131,258 and 268,053 is: 547,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,258 : 268,053 = 268,053 : x
  2. Step 2: Convert to fraction form
    131,258/268,053 = 268,053/x
  3. Step 3: Cross multiply
    131,258x = 268,053 × 268,053
  4. Step 4: Simplify right side
    131,258x = 71,852,410,809
  5. Step 5: Solve for x
    x = 71,852,410,809/131,258
  6. Step 6: Final answer
    x = 547,413.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.