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Finding the Third Proportional to 306,069 and 666,346

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Solution

The third proportional to 306,069 and 666,346 is: 1,450,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,069 : 666,346 = 666,346 : x
  2. Step 2: Convert to fraction form
    306,069/666,346 = 666,346/x
  3. Step 3: Cross multiply
    306,069x = 666,346 × 666,346
  4. Step 4: Simplify right side
    306,069x = 444,016,991,716
  5. Step 5: Solve for x
    x = 444,016,991,716/306,069
  6. Step 6: Final answer
    x = 1,450,708.80

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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.