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Finding the Third Proportional to 155,763 and 257,640.75

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Solution

The third proportional to 155,763 and 257,640.75 is: 426,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,763 : 257,640.75 = 257,640.75 : x
  2. Step 2: Convert to fraction form
    155,763/257,640.75 = 257,640.75/x
  3. Step 3: Cross multiply
    155,763x = 257,640.75 × 257,640.75
  4. Step 4: Simplify right side
    155,763x = 66,378,756,060.56
  5. Step 5: Solve for x
    x = 66,378,756,060.56/155,763
  6. Step 6: Final answer
    x = 426,152.27

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.