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Finding the Third Proportional to 202,380 and 440,432

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Solution

The third proportional to 202,380 and 440,432 is: 958,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,380 : 440,432 = 440,432 : x
  2. Step 2: Convert to fraction form
    202,380/440,432 = 440,432/x
  3. Step 3: Cross multiply
    202,380x = 440,432 × 440,432
  4. Step 4: Simplify right side
    202,380x = 193,980,346,624
  5. Step 5: Solve for x
    x = 193,980,346,624/202,380
  6. Step 6: Final answer
    x = 958,495.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.