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Finding the Third Proportional to 306,882 and 669,546

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Solution

The third proportional to 306,882 and 669,546 is: 1,460,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,882 : 669,546 = 669,546 : x
  2. Step 2: Convert to fraction form
    306,882/669,546 = 669,546/x
  3. Step 3: Cross multiply
    306,882x = 669,546 × 669,546
  4. Step 4: Simplify right side
    306,882x = 448,291,846,116
  5. Step 5: Solve for x
    x = 448,291,846,116/306,882
  6. Step 6: Final answer
    x = 1,460,795.50

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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.