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Finding the Third Proportional to 294,109 and 439,989

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Solution

The third proportional to 294,109 and 439,989 is: 658,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,109 : 439,989 = 439,989 : x
  2. Step 2: Convert to fraction form
    294,109/439,989 = 439,989/x
  3. Step 3: Cross multiply
    294,109x = 439,989 × 439,989
  4. Step 4: Simplify right side
    294,109x = 193,590,320,121
  5. Step 5: Solve for x
    x = 193,590,320,121/294,109
  6. Step 6: Final answer
    x = 658,226.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.