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Finding the Third Proportional to 385,978 and 837,976

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Solution

The third proportional to 385,978 and 837,976 is: 1,819,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,978 : 837,976 = 837,976 : x
  2. Step 2: Convert to fraction form
    385,978/837,976 = 837,976/x
  3. Step 3: Cross multiply
    385,978x = 837,976 × 837,976
  4. Step 4: Simplify right side
    385,978x = 702,203,776,576
  5. Step 5: Solve for x
    x = 702,203,776,576/385,978
  6. Step 6: Final answer
    x = 1,819,284.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.