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Finding the Third Proportional to 307,689 and 664,586

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Solution

The third proportional to 307,689 and 664,586 is: 1,435,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,689 : 664,586 = 664,586 : x
  2. Step 2: Convert to fraction form
    307,689/664,586 = 664,586/x
  3. Step 3: Cross multiply
    307,689x = 664,586 × 664,586
  4. Step 4: Simplify right side
    307,689x = 441,674,551,396
  5. Step 5: Solve for x
    x = 441,674,551,396/307,689
  6. Step 6: Final answer
    x = 1,435,457.72

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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.