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Finding the Third Proportional to 405,968 and 881,100

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Solution

The third proportional to 405,968 and 881,100 is: 1,912,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,968 : 881,100 = 881,100 : x
  2. Step 2: Convert to fraction form
    405,968/881,100 = 881,100/x
  3. Step 3: Cross multiply
    405,968x = 881,100 × 881,100
  4. Step 4: Simplify right side
    405,968x = 776,337,210,000
  5. Step 5: Solve for x
    x = 776,337,210,000/405,968
  6. Step 6: Final answer
    x = 1,912,311.34

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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.