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Finding the Third Proportional to 189,308 and 418,000

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Solution

The third proportional to 189,308 and 418,000 is: 922,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,308 : 418,000 = 418,000 : x
  2. Step 2: Convert to fraction form
    189,308/418,000 = 418,000/x
  3. Step 3: Cross multiply
    189,308x = 418,000 × 418,000
  4. Step 4: Simplify right side
    189,308x = 174,724,000,000
  5. Step 5: Solve for x
    x = 174,724,000,000/189,308
  6. Step 6: Final answer
    x = 922,961.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.