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Finding the Third Proportional to 247,986 and 540,258

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Solution

The third proportional to 247,986 and 540,258 is: 1,176,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,986 : 540,258 = 540,258 : x
  2. Step 2: Convert to fraction form
    247,986/540,258 = 540,258/x
  3. Step 3: Cross multiply
    247,986x = 540,258 × 540,258
  4. Step 4: Simplify right side
    247,986x = 291,878,706,564
  5. Step 5: Solve for x
    x = 291,878,706,564/247,986
  6. Step 6: Final answer
    x = 1,176,996.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.