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Finding the Third Proportional to 201,515 and 439,210

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Solution

The third proportional to 201,515 and 439,210 is: 957,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,515 : 439,210 = 439,210 : x
  2. Step 2: Convert to fraction form
    201,515/439,210 = 439,210/x
  3. Step 3: Cross multiply
    201,515x = 439,210 × 439,210
  4. Step 4: Simplify right side
    201,515x = 192,905,424,100
  5. Step 5: Solve for x
    x = 192,905,424,100/201,515
  6. Step 6: Final answer
    x = 957,275.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.