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Finding the Third Proportional to 201,126 and 298,210

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Solution

The third proportional to 201,126 and 298,210 is: 442,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,126 : 298,210 = 298,210 : x
  2. Step 2: Convert to fraction form
    201,126/298,210 = 298,210/x
  3. Step 3: Cross multiply
    201,126x = 298,210 × 298,210
  4. Step 4: Simplify right side
    201,126x = 88,929,204,100
  5. Step 5: Solve for x
    x = 88,929,204,100/201,126
  6. Step 6: Final answer
    x = 442,156.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.