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Finding the Third Proportional to 189,858 and 417,612

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Solution

The third proportional to 189,858 and 417,612 is: 918,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,858 : 417,612 = 417,612 : x
  2. Step 2: Convert to fraction form
    189,858/417,612 = 417,612/x
  3. Step 3: Cross multiply
    189,858x = 417,612 × 417,612
  4. Step 4: Simplify right side
    189,858x = 174,399,782,544
  5. Step 5: Solve for x
    x = 174,399,782,544/189,858
  6. Step 6: Final answer
    x = 918,580.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.