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Finding the Third Proportional to 297,220 and 660,728

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Solution

The third proportional to 297,220 and 660,728 is: 1,468,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,220 : 660,728 = 660,728 : x
  2. Step 2: Convert to fraction form
    297,220/660,728 = 660,728/x
  3. Step 3: Cross multiply
    297,220x = 660,728 × 660,728
  4. Step 4: Simplify right side
    297,220x = 436,561,489,984
  5. Step 5: Solve for x
    x = 436,561,489,984/297,220
  6. Step 6: Final answer
    x = 1,468,815.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.