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Finding the Third Proportional to 388,958 and 831,796

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Solution

The third proportional to 388,958 and 831,796 is: 1,778,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,958 : 831,796 = 831,796 : x
  2. Step 2: Convert to fraction form
    388,958/831,796 = 831,796/x
  3. Step 3: Cross multiply
    388,958x = 831,796 × 831,796
  4. Step 4: Simplify right side
    388,958x = 691,884,585,616
  5. Step 5: Solve for x
    x = 691,884,585,616/388,958
  6. Step 6: Final answer
    x = 1,778,815.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.