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Finding the Third Proportional to 297,216 and 649,728

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Solution

The third proportional to 297,216 and 649,728 is: 1,420,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,216 : 649,728 = 649,728 : x
  2. Step 2: Convert to fraction form
    297,216/649,728 = 649,728/x
  3. Step 3: Cross multiply
    297,216x = 649,728 × 649,728
  4. Step 4: Simplify right side
    297,216x = 422,146,473,984
  5. Step 5: Solve for x
    x = 422,146,473,984/297,216
  6. Step 6: Final answer
    x = 1,420,335.63

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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.