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Finding the Third Proportional to 355,478 and 545,093.25

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Solution

The third proportional to 355,478 and 545,093.25 is: 835,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,478 : 545,093.25 = 545,093.25 : x
  2. Step 2: Convert to fraction form
    355,478/545,093.25 = 545,093.25/x
  3. Step 3: Cross multiply
    355,478x = 545,093.25 × 545,093.25
  4. Step 4: Simplify right side
    355,478x = 297,126,651,195.56
  5. Step 5: Solve for x
    x = 297,126,651,195.56/355,478
  6. Step 6: Final answer
    x = 835,851.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.