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Finding the Third Proportional to 202,380 and 438,291

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Solution

The third proportional to 202,380 and 438,291 is: 949,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,380 : 438,291 = 438,291 : x
  2. Step 2: Convert to fraction form
    202,380/438,291 = 438,291/x
  3. Step 3: Cross multiply
    202,380x = 438,291 × 438,291
  4. Step 4: Simplify right side
    202,380x = 192,099,000,681
  5. Step 5: Solve for x
    x = 192,099,000,681/202,380
  6. Step 6: Final answer
    x = 949,199.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.