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Finding the Third Proportional to 354,769 and 788,269

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Solution

The third proportional to 354,769 and 788,269 is: 1,751,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,769 : 788,269 = 788,269 : x
  2. Step 2: Convert to fraction form
    354,769/788,269 = 788,269/x
  3. Step 3: Cross multiply
    354,769x = 788,269 × 788,269
  4. Step 4: Simplify right side
    354,769x = 621,368,016,361
  5. Step 5: Solve for x
    x = 621,368,016,361/354,769
  6. Step 6: Final answer
    x = 1,751,472.13

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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.