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Finding the Third Proportional to 154,086 and 216,351

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Solution

The third proportional to 154,086 and 216,351 is: 303,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,086 : 216,351 = 216,351 : x
  2. Step 2: Convert to fraction form
    154,086/216,351 = 216,351/x
  3. Step 3: Cross multiply
    154,086x = 216,351 × 216,351
  4. Step 4: Simplify right side
    154,086x = 46,807,755,201
  5. Step 5: Solve for x
    x = 46,807,755,201/154,086
  6. Step 6: Final answer
    x = 303,776.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.