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Finding the Third Proportional to 307,856 and 462,680

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Solution

The third proportional to 307,856 and 462,680 is: 695,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,856 : 462,680 = 462,680 : x
  2. Step 2: Convert to fraction form
    307,856/462,680 = 462,680/x
  3. Step 3: Cross multiply
    307,856x = 462,680 × 462,680
  4. Step 4: Simplify right side
    307,856x = 214,072,782,400
  5. Step 5: Solve for x
    x = 214,072,782,400/307,856
  6. Step 6: Final answer
    x = 695,366.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.