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Finding the Third Proportional to 200,210 and 269,670

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Solution

The third proportional to 200,210 and 269,670 is: 363,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,210 : 269,670 = 269,670 : x
  2. Step 2: Convert to fraction form
    200,210/269,670 = 269,670/x
  3. Step 3: Cross multiply
    200,210x = 269,670 × 269,670
  4. Step 4: Simplify right side
    200,210x = 72,721,908,900
  5. Step 5: Solve for x
    x = 72,721,908,900/200,210
  6. Step 6: Final answer
    x = 363,228.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.