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Finding the Third Proportional to 348,436.69 and 511,138.69

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Solution

The third proportional to 348,436.69 and 511,138.69 is: 749,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,436.69 : 511,138.69 = 511,138.69 : x
  2. Step 2: Convert to fraction form
    348,436.69/511,138.69 = 511,138.69/x
  3. Step 3: Cross multiply
    348,436.69x = 511,138.69 × 511,138.69
  4. Step 4: Simplify right side
    348,436.69x = 261,262,757,859.22
  5. Step 5: Solve for x
    x = 261,262,757,859.22/348,436.69
  6. Step 6: Final answer
    x = 749,814.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.