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Finding the Third Proportional to 354,729 and 788,190

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Solution

The third proportional to 354,729 and 788,190 is: 1,751,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,729 : 788,190 = 788,190 : x
  2. Step 2: Convert to fraction form
    354,729/788,190 = 788,190/x
  3. Step 3: Cross multiply
    354,729x = 788,190 × 788,190
  4. Step 4: Simplify right side
    354,729x = 621,243,476,100
  5. Step 5: Solve for x
    x = 621,243,476,100/354,729
  6. Step 6: Final answer
    x = 1,751,318.54

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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.