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Finding the Third Proportional to 340,260.75 and 513,123.19

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Solution

The third proportional to 340,260.75 and 513,123.19 is: 773,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,260.75 : 513,123.19 = 513,123.19 : x
  2. Step 2: Convert to fraction form
    340,260.75/513,123.19 = 513,123.19/x
  3. Step 3: Cross multiply
    340,260.75x = 513,123.19 × 513,123.19
  4. Step 4: Simplify right side
    340,260.75x = 263,295,405,550.16
  5. Step 5: Solve for x
    x = 263,295,405,550.16/340,260.75
  6. Step 6: Final answer
    x = 773,804.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.