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Finding the Third Proportional to 371,860 and 765,728

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Solution

The third proportional to 371,860 and 765,728 is: 1,576,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,860 : 765,728 = 765,728 : x
  2. Step 2: Convert to fraction form
    371,860/765,728 = 765,728/x
  3. Step 3: Cross multiply
    371,860x = 765,728 × 765,728
  4. Step 4: Simplify right side
    371,860x = 586,339,369,984
  5. Step 5: Solve for x
    x = 586,339,369,984/371,860
  6. Step 6: Final answer
    x = 1,576,774.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.