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Finding the Third Proportional to 395,299.50 and 869,318

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Solution

The third proportional to 395,299.50 and 869,318 is: 1,911,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,299.50 : 869,318 = 869,318 : x
  2. Step 2: Convert to fraction form
    395,299.50/869,318 = 869,318/x
  3. Step 3: Cross multiply
    395,299.50x = 869,318 × 869,318
  4. Step 4: Simplify right side
    395,299.50x = 755,713,785,124
  5. Step 5: Solve for x
    x = 755,713,785,124/395,299.50
  6. Step 6: Final answer
    x = 1,911,749.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.