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Finding the Third Proportional to 306,747 and 669,258

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Solution

The third proportional to 306,747 and 669,258 is: 1,460,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,747 : 669,258 = 669,258 : x
  2. Step 2: Convert to fraction form
    306,747/669,258 = 669,258/x
  3. Step 3: Cross multiply
    306,747x = 669,258 × 669,258
  4. Step 4: Simplify right side
    306,747x = 447,906,270,564
  5. Step 5: Solve for x
    x = 447,906,270,564/306,747
  6. Step 6: Final answer
    x = 1,460,181.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.