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Finding the Third Proportional to 189,854 and 417,604

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Solution

The third proportional to 189,854 and 417,604 is: 918,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,854 : 417,604 = 417,604 : x
  2. Step 2: Convert to fraction form
    189,854/417,604 = 417,604/x
  3. Step 3: Cross multiply
    189,854x = 417,604 × 417,604
  4. Step 4: Simplify right side
    189,854x = 174,393,100,816
  5. Step 5: Solve for x
    x = 174,393,100,816/189,854
  6. Step 6: Final answer
    x = 918,564.27

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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.