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Finding the Third Proportional to 301,139.25 and 440,379

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Solution

The third proportional to 301,139.25 and 440,379 is: 643,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,139.25 : 440,379 = 440,379 : x
  2. Step 2: Convert to fraction form
    301,139.25/440,379 = 440,379/x
  3. Step 3: Cross multiply
    301,139.25x = 440,379 × 440,379
  4. Step 4: Simplify right side
    301,139.25x = 193,933,663,641
  5. Step 5: Solve for x
    x = 193,933,663,641/301,139.25
  6. Step 6: Final answer
    x = 643,999.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.