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Finding the Third Proportional to 200,015 and 437,390

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Solution

The third proportional to 200,015 and 437,390 is: 956,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,015 : 437,390 = 437,390 : x
  2. Step 2: Convert to fraction form
    200,015/437,390 = 437,390/x
  3. Step 3: Cross multiply
    200,015x = 437,390 × 437,390
  4. Step 4: Simplify right side
    200,015x = 191,310,012,100
  5. Step 5: Solve for x
    x = 191,310,012,100/200,015
  6. Step 6: Final answer
    x = 956,478.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.