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Finding the Third Proportional to 354,111 and 767,286

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Solution

The third proportional to 354,111 and 767,286 is: 1,662,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,111 : 767,286 = 767,286 : x
  2. Step 2: Convert to fraction form
    354,111/767,286 = 767,286/x
  3. Step 3: Cross multiply
    354,111x = 767,286 × 767,286
  4. Step 4: Simplify right side
    354,111x = 588,727,805,796
  5. Step 5: Solve for x
    x = 588,727,805,796/354,111
  6. Step 6: Final answer
    x = 1,662,551.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.