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Finding the Third Proportional to 405,739 and 881,462

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Solution

The third proportional to 405,739 and 881,462 is: 1,914,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,739 : 881,462 = 881,462 : x
  2. Step 2: Convert to fraction form
    405,739/881,462 = 881,462/x
  3. Step 3: Cross multiply
    405,739x = 881,462 × 881,462
  4. Step 4: Simplify right side
    405,739x = 776,975,257,444
  5. Step 5: Solve for x
    x = 776,975,257,444/405,739
  6. Step 6: Final answer
    x = 1,914,963.21

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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.