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Finding the Third Proportional to 274,258 and 414,309

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Solution

The third proportional to 274,258 and 414,309 is: 625,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,258 : 414,309 = 414,309 : x
  2. Step 2: Convert to fraction form
    274,258/414,309 = 414,309/x
  3. Step 3: Cross multiply
    274,258x = 414,309 × 414,309
  4. Step 4: Simplify right side
    274,258x = 171,651,947,481
  5. Step 5: Solve for x
    x = 171,651,947,481/274,258
  6. Step 6: Final answer
    x = 625,877.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.