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Finding the Third Proportional to 207,702 and 311,206

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Solution

The third proportional to 207,702 and 311,206 is: 466,289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,702 : 311,206 = 311,206 : x
  2. Step 2: Convert to fraction form
    207,702/311,206 = 311,206/x
  3. Step 3: Cross multiply
    207,702x = 311,206 × 311,206
  4. Step 4: Simplify right side
    207,702x = 96,849,174,436
  5. Step 5: Solve for x
    x = 96,849,174,436/207,702
  6. Step 6: Final answer
    x = 466,289.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.