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Finding the Third Proportional to 308,212 and 666,964

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Solution

The third proportional to 308,212 and 666,964 is: 1,443,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,212 : 666,964 = 666,964 : x
  2. Step 2: Convert to fraction form
    308,212/666,964 = 666,964/x
  3. Step 3: Cross multiply
    308,212x = 666,964 × 666,964
  4. Step 4: Simplify right side
    308,212x = 444,840,977,296
  5. Step 5: Solve for x
    x = 444,840,977,296/308,212
  6. Step 6: Final answer
    x = 1,443,295.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.