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Finding the Third Proportional to 299,454.50 and 438,035

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Solution

The third proportional to 299,454.50 and 438,035 is: 640,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,454.50 : 438,035 = 438,035 : x
  2. Step 2: Convert to fraction form
    299,454.50/438,035 = 438,035/x
  3. Step 3: Cross multiply
    299,454.50x = 438,035 × 438,035
  4. Step 4: Simplify right side
    299,454.50x = 191,874,661,225
  5. Step 5: Solve for x
    x = 191,874,661,225/299,454.50
  6. Step 6: Final answer
    x = 640,747.30

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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.