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Finding the Third Proportional to 356,825.25 and 769,353.19

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Solution

The third proportional to 356,825.25 and 769,353.19 is: 1,658,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,825.25 : 769,353.19 = 769,353.19 : x
  2. Step 2: Convert to fraction form
    356,825.25/769,353.19 = 769,353.19/x
  3. Step 3: Cross multiply
    356,825.25x = 769,353.19 × 769,353.19
  4. Step 4: Simplify right side
    356,825.25x = 591,904,327,116.41
  5. Step 5: Solve for x
    x = 591,904,327,116.41/356,825.25
  6. Step 6: Final answer
    x = 1,658,807.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.