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Finding the Third Proportional to 313,046 and 419,379

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Solution

The third proportional to 313,046 and 419,379 is: 561,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,046 : 419,379 = 419,379 : x
  2. Step 2: Convert to fraction form
    313,046/419,379 = 419,379/x
  3. Step 3: Cross multiply
    313,046x = 419,379 × 419,379
  4. Step 4: Simplify right side
    313,046x = 175,878,745,641
  5. Step 5: Solve for x
    x = 175,878,745,641/313,046
  6. Step 6: Final answer
    x = 561,830.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.