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Finding the Third Proportional to 205,082 and 310,356

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Solution

The third proportional to 205,082 and 310,356 is: 469,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,082 : 310,356 = 310,356 : x
  2. Step 2: Convert to fraction form
    205,082/310,356 = 310,356/x
  3. Step 3: Cross multiply
    205,082x = 310,356 × 310,356
  4. Step 4: Simplify right side
    205,082x = 96,320,846,736
  5. Step 5: Solve for x
    x = 96,320,846,736/205,082
  6. Step 6: Final answer
    x = 469,669.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.