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Finding the Third Proportional to 298,088 and 450,986

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Solution

The third proportional to 298,088 and 450,986 is: 682,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,088 : 450,986 = 450,986 : x
  2. Step 2: Convert to fraction form
    298,088/450,986 = 450,986/x
  3. Step 3: Cross multiply
    298,088x = 450,986 × 450,986
  4. Step 4: Simplify right side
    298,088x = 203,388,372,196
  5. Step 5: Solve for x
    x = 203,388,372,196/298,088
  6. Step 6: Final answer
    x = 682,309.83

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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.