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Finding the Third Proportional to 201,039.47 and 311,412.09

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Solution

The third proportional to 201,039.47 and 311,412.09 is: 482,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,039.47 : 311,412.09 = 311,412.09 : x
  2. Step 2: Convert to fraction form
    201,039.47/311,412.09 = 311,412.09/x
  3. Step 3: Cross multiply
    201,039.47x = 311,412.09 × 311,412.09
  4. Step 4: Simplify right side
    201,039.47x = 96,977,492,133.76
  5. Step 5: Solve for x
    x = 96,977,492,133.76/201,039.47
  6. Step 6: Final answer
    x = 482,380.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.