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Finding the Third Proportional to 840,092 and 1,291,242

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Solution

The third proportional to 840,092 and 1,291,242 is: 1,984,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,092 : 1,291,242 = 1,291,242 : x
  2. Step 2: Convert to fraction form
    840,092/1,291,242 = 1,291,242/x
  3. Step 3: Cross multiply
    840,092x = 1,291,242 × 1,291,242
  4. Step 4: Simplify right side
    840,092x = 1,667,305,902,564
  5. Step 5: Solve for x
    x = 1,667,305,902,564/840,092
  6. Step 6: Final answer
    x = 1,984,670.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.