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Finding the Third Proportional to 355,315 and 531,285

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Solution

The third proportional to 355,315 and 531,285 is: 794,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,315 : 531,285 = 531,285 : x
  2. Step 2: Convert to fraction form
    355,315/531,285 = 531,285/x
  3. Step 3: Cross multiply
    355,315x = 531,285 × 531,285
  4. Step 4: Simplify right side
    355,315x = 282,263,751,225
  5. Step 5: Solve for x
    x = 282,263,751,225/355,315
  6. Step 6: Final answer
    x = 794,404.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.