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Finding the Third Proportional to 189,345 and 414,903.75

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Solution

The third proportional to 189,345 and 414,903.75 is: 909,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,345 : 414,903.75 = 414,903.75 : x
  2. Step 2: Convert to fraction form
    189,345/414,903.75 = 414,903.75/x
  3. Step 3: Cross multiply
    189,345x = 414,903.75 × 414,903.75
  4. Step 4: Simplify right side
    189,345x = 172,145,121,764.06
  5. Step 5: Solve for x
    x = 172,145,121,764.06/189,345
  6. Step 6: Final answer
    x = 909,161.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.