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Finding the Third Proportional to 405,680 and 904,640

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Solution

The third proportional to 405,680 and 904,640 is: 2,017,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,680 : 904,640 = 904,640 : x
  2. Step 2: Convert to fraction form
    405,680/904,640 = 904,640/x
  3. Step 3: Cross multiply
    405,680x = 904,640 × 904,640
  4. Step 4: Simplify right side
    405,680x = 818,373,529,600
  5. Step 5: Solve for x
    x = 818,373,529,600/405,680
  6. Step 6: Final answer
    x = 2,017,288.33

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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.