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Finding the Third Proportional to 202,640 and 439,624

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Solution

The third proportional to 202,640 and 439,624 is: 953,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,640 : 439,624 = 439,624 : x
  2. Step 2: Convert to fraction form
    202,640/439,624 = 439,624/x
  3. Step 3: Cross multiply
    202,640x = 439,624 × 439,624
  4. Step 4: Simplify right side
    202,640x = 193,269,261,376
  5. Step 5: Solve for x
    x = 193,269,261,376/202,640
  6. Step 6: Final answer
    x = 953,756.72

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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.