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Finding the Third Proportional to 307,840 and 659,480

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Solution

The third proportional to 307,840 and 659,480 is: 1,412,791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,840 : 659,480 = 659,480 : x
  2. Step 2: Convert to fraction form
    307,840/659,480 = 659,480/x
  3. Step 3: Cross multiply
    307,840x = 659,480 × 659,480
  4. Step 4: Simplify right side
    307,840x = 434,913,870,400
  5. Step 5: Solve for x
    x = 434,913,870,400/307,840
  6. Step 6: Final answer
    x = 1,412,791.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.