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Finding the Third Proportional to 307,698 and 664,602

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Solution

The third proportional to 307,698 and 664,602 is: 1,435,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,698 : 664,602 = 664,602 : x
  2. Step 2: Convert to fraction form
    307,698/664,602 = 664,602/x
  3. Step 3: Cross multiply
    307,698x = 664,602 × 664,602
  4. Step 4: Simplify right side
    307,698x = 441,695,818,404
  5. Step 5: Solve for x
    x = 441,695,818,404/307,698
  6. Step 6: Final answer
    x = 1,435,484.85

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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.