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Finding the Third Proportional to 306,446 and 460,005

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Solution

The third proportional to 306,446 and 460,005 is: 690,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,446 : 460,005 = 460,005 : x
  2. Step 2: Convert to fraction form
    306,446/460,005 = 460,005/x
  3. Step 3: Cross multiply
    306,446x = 460,005 × 460,005
  4. Step 4: Simplify right side
    306,446x = 211,604,600,025
  5. Step 5: Solve for x
    x = 211,604,600,025/306,446
  6. Step 6: Final answer
    x = 690,511.87

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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.