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Finding the Third Proportional to 306,869 and 370,840

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Solution

The third proportional to 306,869 and 370,840 is: 448,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,869 : 370,840 = 370,840 : x
  2. Step 2: Convert to fraction form
    306,869/370,840 = 370,840/x
  3. Step 3: Cross multiply
    306,869x = 370,840 × 370,840
  4. Step 4: Simplify right side
    306,869x = 137,522,305,600
  5. Step 5: Solve for x
    x = 137,522,305,600/306,869
  6. Step 6: Final answer
    x = 448,146.62

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.