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Finding the Third Proportional to 380,028 and 802,968

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Solution

The third proportional to 380,028 and 802,968 is: 1,696,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,028 : 802,968 = 802,968 : x
  2. Step 2: Convert to fraction form
    380,028/802,968 = 802,968/x
  3. Step 3: Cross multiply
    380,028x = 802,968 × 802,968
  4. Step 4: Simplify right side
    380,028x = 644,757,609,024
  5. Step 5: Solve for x
    x = 644,757,609,024/380,028
  6. Step 6: Final answer
    x = 1,696,605.54

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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.