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Finding the Third Proportional to 307,989 and 668,586

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Solution

The third proportional to 307,989 and 668,586 is: 1,451,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,989 : 668,586 = 668,586 : x
  2. Step 2: Convert to fraction form
    307,989/668,586 = 668,586/x
  3. Step 3: Cross multiply
    307,989x = 668,586 × 668,586
  4. Step 4: Simplify right side
    307,989x = 447,007,239,396
  5. Step 5: Solve for x
    x = 447,007,239,396/307,989
  6. Step 6: Final answer
    x = 1,451,374.04

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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.