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Finding the Third Proportional to 307,012 and 660,680

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Solution

The third proportional to 307,012 and 660,680 is: 1,421,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,012 : 660,680 = 660,680 : x
  2. Step 2: Convert to fraction form
    307,012/660,680 = 660,680/x
  3. Step 3: Cross multiply
    307,012x = 660,680 × 660,680
  4. Step 4: Simplify right side
    307,012x = 436,498,062,400
  5. Step 5: Solve for x
    x = 436,498,062,400/307,012
  6. Step 6: Final answer
    x = 1,421,762.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.