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Finding the Third Proportional to 189,343 and 408,210

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Solution

The third proportional to 189,343 and 408,210 is: 880,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,343 : 408,210 = 408,210 : x
  2. Step 2: Convert to fraction form
    189,343/408,210 = 408,210/x
  3. Step 3: Cross multiply
    189,343x = 408,210 × 408,210
  4. Step 4: Simplify right side
    189,343x = 166,635,404,100
  5. Step 5: Solve for x
    x = 166,635,404,100/189,343
  6. Step 6: Final answer
    x = 880,071.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.