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Finding the Third Proportional to 342,923.50 and 509,416.50

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Solution

The third proportional to 342,923.50 and 509,416.50 is: 756,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,923.50 : 509,416.50 = 509,416.50 : x
  2. Step 2: Convert to fraction form
    342,923.50/509,416.50 = 509,416.50/x
  3. Step 3: Cross multiply
    342,923.50x = 509,416.50 × 509,416.50
  4. Step 4: Simplify right side
    342,923.50x = 259,505,170,472.25
  5. Step 5: Solve for x
    x = 259,505,170,472.25/342,923.50
  6. Step 6: Final answer
    x = 756,743.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.