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Finding the Third Proportional to 388,912 and 831,772

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Solution

The third proportional to 388,912 and 831,772 is: 1,778,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,912 : 831,772 = 831,772 : x
  2. Step 2: Convert to fraction form
    388,912/831,772 = 831,772/x
  3. Step 3: Cross multiply
    388,912x = 831,772 × 831,772
  4. Step 4: Simplify right side
    388,912x = 691,844,659,984
  5. Step 5: Solve for x
    x = 691,844,659,984/388,912
  6. Step 6: Final answer
    x = 1,778,923.41

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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.