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Finding the Third Proportional to 354,770 and 788,274

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Solution

The third proportional to 354,770 and 788,274 is: 1,751,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,770 : 788,274 = 788,274 : x
  2. Step 2: Convert to fraction form
    354,770/788,274 = 788,274/x
  3. Step 3: Cross multiply
    354,770x = 788,274 × 788,274
  4. Step 4: Simplify right side
    354,770x = 621,375,899,076
  5. Step 5: Solve for x
    x = 621,375,899,076/354,770
  6. Step 6: Final answer
    x = 1,751,489.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.