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Finding the Third Proportional to 366,980 and 773,748

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Solution

The third proportional to 366,980 and 773,748 is: 1,631,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,980 : 773,748 = 773,748 : x
  2. Step 2: Convert to fraction form
    366,980/773,748 = 773,748/x
  3. Step 3: Cross multiply
    366,980x = 773,748 × 773,748
  4. Step 4: Simplify right side
    366,980x = 598,685,967,504
  5. Step 5: Solve for x
    x = 598,685,967,504/366,980
  6. Step 6: Final answer
    x = 1,631,385.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.