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Finding the Third Proportional to 289,018.13 and 451,023.19

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Solution

The third proportional to 289,018.13 and 451,023.19 is: 703,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,018.13 : 451,023.19 = 451,023.19 : x
  2. Step 2: Convert to fraction form
    289,018.13/451,023.19 = 451,023.19/x
  3. Step 3: Cross multiply
    289,018.13x = 451,023.19 × 451,023.19
  4. Step 4: Simplify right side
    289,018.13x = 203,421,915,662.66
  5. Step 5: Solve for x
    x = 203,421,915,662.66/289,018.13
  6. Step 6: Final answer
    x = 703,837.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.