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Finding the Third Proportional to 380,440 and 899,696

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Solution

The third proportional to 380,440 and 899,696 is: 2,127,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,440 : 899,696 = 899,696 : x
  2. Step 2: Convert to fraction form
    380,440/899,696 = 899,696/x
  3. Step 3: Cross multiply
    380,440x = 899,696 × 899,696
  4. Step 4: Simplify right side
    380,440x = 809,452,892,416
  5. Step 5: Solve for x
    x = 809,452,892,416/380,440
  6. Step 6: Final answer
    x = 2,127,675.57

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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.