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Finding the Third Proportional to 201,990 and 437,409

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Solution

The third proportional to 201,990 and 437,409 is: 947,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,990 : 437,409 = 437,409 : x
  2. Step 2: Convert to fraction form
    201,990/437,409 = 437,409/x
  3. Step 3: Cross multiply
    201,990x = 437,409 × 437,409
  4. Step 4: Simplify right side
    201,990x = 191,326,633,281
  5. Step 5: Solve for x
    x = 191,326,633,281/201,990
  6. Step 6: Final answer
    x = 947,208.44

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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.