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Finding the Third Proportional to 299,418.75 and 430,438.50

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Solution

The third proportional to 299,418.75 and 430,438.50 is: 618,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,418.75 : 430,438.50 = 430,438.50 : x
  2. Step 2: Convert to fraction form
    299,418.75/430,438.50 = 430,438.50/x
  3. Step 3: Cross multiply
    299,418.75x = 430,438.50 × 430,438.50
  4. Step 4: Simplify right side
    299,418.75x = 185,277,302,282.25
  5. Step 5: Solve for x
    x = 185,277,302,282.25/299,418.75
  6. Step 6: Final answer
    x = 618,789.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.