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Finding the Third Proportional to 331,669 and 779,665

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Solution

The third proportional to 331,669 and 779,665 is: 1,832,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,669 : 779,665 = 779,665 : x
  2. Step 2: Convert to fraction form
    331,669/779,665 = 779,665/x
  3. Step 3: Cross multiply
    331,669x = 779,665 × 779,665
  4. Step 4: Simplify right side
    331,669x = 607,877,512,225
  5. Step 5: Solve for x
    x = 607,877,512,225/331,669
  6. Step 6: Final answer
    x = 1,832,783.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.