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Finding the Third Proportional to 367,040 and 778,145

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Solution

The third proportional to 367,040 and 778,145 is: 1,649,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,040 : 778,145 = 778,145 : x
  2. Step 2: Convert to fraction form
    367,040/778,145 = 778,145/x
  3. Step 3: Cross multiply
    367,040x = 778,145 × 778,145
  4. Step 4: Simplify right side
    367,040x = 605,509,641,025
  5. Step 5: Solve for x
    x = 605,509,641,025/367,040
  6. Step 6: Final answer
    x = 1,649,710.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.