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Finding the Third Proportional to 306,915 and 666,957

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Solution

The third proportional to 306,915 and 666,957 is: 1,449,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,915 : 666,957 = 666,957 : x
  2. Step 2: Convert to fraction form
    306,915/666,957 = 666,957/x
  3. Step 3: Cross multiply
    306,915x = 666,957 × 666,957
  4. Step 4: Simplify right side
    306,915x = 444,831,639,849
  5. Step 5: Solve for x
    x = 444,831,639,849/306,915
  6. Step 6: Final answer
    x = 1,449,364.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.