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Finding the Third Proportional to 405,576 and 904,320

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Solution

The third proportional to 405,576 and 904,320 is: 2,016,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,576 : 904,320 = 904,320 : x
  2. Step 2: Convert to fraction form
    405,576/904,320 = 904,320/x
  3. Step 3: Cross multiply
    405,576x = 904,320 × 904,320
  4. Step 4: Simplify right side
    405,576x = 817,794,662,400
  5. Step 5: Solve for x
    x = 817,794,662,400/405,576
  6. Step 6: Final answer
    x = 2,016,378.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.