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Finding the Third Proportional to 201,312 and 311,309

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Solution

The third proportional to 201,312 and 311,309 is: 481,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,312 : 311,309 = 311,309 : x
  2. Step 2: Convert to fraction form
    201,312/311,309 = 311,309/x
  3. Step 3: Cross multiply
    201,312x = 311,309 × 311,309
  4. Step 4: Simplify right side
    201,312x = 96,913,293,481
  5. Step 5: Solve for x
    x = 96,913,293,481/201,312
  6. Step 6: Final answer
    x = 481,408.43

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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.