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Finding the Third Proportional to 367,028 and 778,121

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Solution

The third proportional to 367,028 and 778,121 is: 1,649,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,028 : 778,121 = 778,121 : x
  2. Step 2: Convert to fraction form
    367,028/778,121 = 778,121/x
  3. Step 3: Cross multiply
    367,028x = 778,121 × 778,121
  4. Step 4: Simplify right side
    367,028x = 605,472,290,641
  5. Step 5: Solve for x
    x = 605,472,290,641/367,028
  6. Step 6: Final answer
    x = 1,649,662.40

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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.