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Finding the Third Proportional to 307,300 and 670,636

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Solution

The third proportional to 307,300 and 670,636 is: 1,463,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,300 : 670,636 = 670,636 : x
  2. Step 2: Convert to fraction form
    307,300/670,636 = 670,636/x
  3. Step 3: Cross multiply
    307,300x = 670,636 × 670,636
  4. Step 4: Simplify right side
    307,300x = 449,752,644,496
  5. Step 5: Solve for x
    x = 449,752,644,496/307,300
  6. Step 6: Final answer
    x = 1,463,562.14

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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.