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Finding the Third Proportional to 307,976 and 460,708

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Solution

The third proportional to 307,976 and 460,708 is: 689,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,976 : 460,708 = 460,708 : x
  2. Step 2: Convert to fraction form
    307,976/460,708 = 460,708/x
  3. Step 3: Cross multiply
    307,976x = 460,708 × 460,708
  4. Step 4: Simplify right side
    307,976x = 212,251,861,264
  5. Step 5: Solve for x
    x = 212,251,861,264/307,976
  6. Step 6: Final answer
    x = 689,183.12

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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.