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Finding the Third Proportional to 343,978.88 and 809,361.28

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Solution

The third proportional to 343,978.88 and 809,361.28 is: 1,904,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,978.88 : 809,361.28 = 809,361.28 : x
  2. Step 2: Convert to fraction form
    343,978.88/809,361.28 = 809,361.28/x
  3. Step 3: Cross multiply
    343,978.88x = 809,361.28 × 809,361.28
  4. Step 4: Simplify right side
    343,978.88x = 655,065,683,586.64
  5. Step 5: Solve for x
    x = 655,065,683,586.64/343,978.88
  6. Step 6: Final answer
    x = 1,904,377.66

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.