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Finding the Third Proportional to 354,702 and 788,121

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Solution

The third proportional to 354,702 and 788,121 is: 1,751,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,702 : 788,121 = 788,121 : x
  2. Step 2: Convert to fraction form
    354,702/788,121 = 788,121/x
  3. Step 3: Cross multiply
    354,702x = 788,121 × 788,121
  4. Step 4: Simplify right side
    354,702x = 621,134,710,641
  5. Step 5: Solve for x
    x = 621,134,710,641/354,702
  6. Step 6: Final answer
    x = 1,751,145.22

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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.