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Finding the Third Proportional to 303,516 and 664,850

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Solution

The third proportional to 303,516 and 664,850 is: 1,456,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,516 : 664,850 = 664,850 : x
  2. Step 2: Convert to fraction form
    303,516/664,850 = 664,850/x
  3. Step 3: Cross multiply
    303,516x = 664,850 × 664,850
  4. Step 4: Simplify right side
    303,516x = 442,025,522,500
  5. Step 5: Solve for x
    x = 442,025,522,500/303,516
  6. Step 6: Final answer
    x = 1,456,349.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.