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Finding the Third Proportional to 302,619 and 439,722

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Solution

The third proportional to 302,619 and 439,722 is: 638,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,619 : 439,722 = 439,722 : x
  2. Step 2: Convert to fraction form
    302,619/439,722 = 439,722/x
  3. Step 3: Cross multiply
    302,619x = 439,722 × 439,722
  4. Step 4: Simplify right side
    302,619x = 193,355,437,284
  5. Step 5: Solve for x
    x = 193,355,437,284/302,619
  6. Step 6: Final answer
    x = 638,940.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.