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Finding the Third Proportional to 561,170.50 and 821,858

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Solution

The third proportional to 561,170.50 and 821,858 is: 1,203,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,170.50 : 821,858 = 821,858 : x
  2. Step 2: Convert to fraction form
    561,170.50/821,858 = 821,858/x
  3. Step 3: Cross multiply
    561,170.50x = 821,858 × 821,858
  4. Step 4: Simplify right side
    561,170.50x = 675,450,572,164
  5. Step 5: Solve for x
    x = 675,450,572,164/561,170.50
  6. Step 6: Final answer
    x = 1,203,645.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.