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Finding the Third Proportional to 312,016 and 608,480

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Solution

The third proportional to 312,016 and 608,480 is: 1,186,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,016 : 608,480 = 608,480 : x
  2. Step 2: Convert to fraction form
    312,016/608,480 = 608,480/x
  3. Step 3: Cross multiply
    312,016x = 608,480 × 608,480
  4. Step 4: Simplify right side
    312,016x = 370,247,910,400
  5. Step 5: Solve for x
    x = 370,247,910,400/312,016
  6. Step 6: Final answer
    x = 1,186,631.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.