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Finding the Third Proportional to 257,640.50 and 408,852.75

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Solution

The third proportional to 257,640.50 and 408,852.75 is: 648,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,640.50 : 408,852.75 = 408,852.75 : x
  2. Step 2: Convert to fraction form
    257,640.50/408,852.75 = 408,852.75/x
  3. Step 3: Cross multiply
    257,640.50x = 408,852.75 × 408,852.75
  4. Step 4: Simplify right side
    257,640.50x = 167,160,571,182.56
  5. Step 5: Solve for x
    x = 167,160,571,182.56/257,640.50
  6. Step 6: Final answer
    x = 648,813.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.