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Finding the Third Proportional to 405,576 and 880,272

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Solution

The third proportional to 405,576 and 880,272 is: 1,910,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,576 : 880,272 = 880,272 : x
  2. Step 2: Convert to fraction form
    405,576/880,272 = 880,272/x
  3. Step 3: Cross multiply
    405,576x = 880,272 × 880,272
  4. Step 4: Simplify right side
    405,576x = 774,878,793,984
  5. Step 5: Solve for x
    x = 774,878,793,984/405,576
  6. Step 6: Final answer
    x = 1,910,563.73

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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.