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Finding the Third Proportional to 561,793.50 and 821,664

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Solution

The third proportional to 561,793.50 and 821,664 is: 1,201,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,793.50 : 821,664 = 821,664 : x
  2. Step 2: Convert to fraction form
    561,793.50/821,664 = 821,664/x
  3. Step 3: Cross multiply
    561,793.50x = 821,664 × 821,664
  4. Step 4: Simplify right side
    561,793.50x = 675,131,728,896
  5. Step 5: Solve for x
    x = 675,131,728,896/561,793.50
  6. Step 6: Final answer
    x = 1,201,743.57

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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.