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Finding the Third Proportional to 201,803.50 and 428,205.50

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Solution

The third proportional to 201,803.50 and 428,205.50 is: 908,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,803.50 : 428,205.50 = 428,205.50 : x
  2. Step 2: Convert to fraction form
    201,803.50/428,205.50 = 428,205.50/x
  3. Step 3: Cross multiply
    201,803.50x = 428,205.50 × 428,205.50
  4. Step 4: Simplify right side
    201,803.50x = 183,359,950,230.25
  5. Step 5: Solve for x
    x = 183,359,950,230.25/201,803.50
  6. Step 6: Final answer
    x = 908,606.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.