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Finding the Third Proportional to 247,905 and 543,258

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Solution

The third proportional to 247,905 and 543,258 is: 1,190,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,905 : 543,258 = 543,258 : x
  2. Step 2: Convert to fraction form
    247,905/543,258 = 543,258/x
  3. Step 3: Cross multiply
    247,905x = 543,258 × 543,258
  4. Step 4: Simplify right side
    247,905x = 295,129,254,564
  5. Step 5: Solve for x
    x = 295,129,254,564/247,905
  6. Step 6: Final answer
    x = 1,190,493.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.