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Finding the Third Proportional to 405,584 and 904,336

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Solution

The third proportional to 405,584 and 904,336 is: 2,016,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,584 : 904,336 = 904,336 : x
  2. Step 2: Convert to fraction form
    405,584/904,336 = 904,336/x
  3. Step 3: Cross multiply
    405,584x = 904,336 × 904,336
  4. Step 4: Simplify right side
    405,584x = 817,823,600,896
  5. Step 5: Solve for x
    x = 817,823,600,896/405,584
  6. Step 6: Final answer
    x = 2,016,409.92

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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.