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Finding the Third Proportional to 380,474 and 899,783

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Solution

The third proportional to 380,474 and 899,783 is: 2,127,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,474 : 899,783 = 899,783 : x
  2. Step 2: Convert to fraction form
    380,474/899,783 = 899,783/x
  3. Step 3: Cross multiply
    380,474x = 899,783 × 899,783
  4. Step 4: Simplify right side
    380,474x = 809,609,447,089
  5. Step 5: Solve for x
    x = 809,609,447,089/380,474
  6. Step 6: Final answer
    x = 2,127,896.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.