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Finding the Third Proportional to 458,409.38 and 990,559.13

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Solution

The third proportional to 458,409.38 and 990,559.13 is: 2,140,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,409.38 : 990,559.13 = 990,559.13 : x
  2. Step 2: Convert to fraction form
    458,409.38/990,559.13 = 990,559.13/x
  3. Step 3: Cross multiply
    458,409.38x = 990,559.13 × 990,559.13
  4. Step 4: Simplify right side
    458,409.38x = 981,207,380,120.77
  5. Step 5: Solve for x
    x = 981,207,380,120.77/458,409.38
  6. Step 6: Final answer
    x = 2,140,460.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.