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Finding the Third Proportional to 189,842 and 417,580

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Solution

The third proportional to 189,842 and 417,580 is: 918,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,842 : 417,580 = 417,580 : x
  2. Step 2: Convert to fraction form
    189,842/417,580 = 417,580/x
  3. Step 3: Cross multiply
    189,842x = 417,580 × 417,580
  4. Step 4: Simplify right side
    189,842x = 174,373,056,400
  5. Step 5: Solve for x
    x = 174,373,056,400/189,842
  6. Step 6: Final answer
    x = 918,516.75

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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.