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Finding the Third Proportional to 189,411 and 408,342

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Solution

The third proportional to 189,411 and 408,342 is: 880,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,411 : 408,342 = 408,342 : x
  2. Step 2: Convert to fraction form
    189,411/408,342 = 408,342/x
  3. Step 3: Cross multiply
    189,411x = 408,342 × 408,342
  4. Step 4: Simplify right side
    189,411x = 166,743,188,964
  5. Step 5: Solve for x
    x = 166,743,188,964/189,411
  6. Step 6: Final answer
    x = 880,324.74

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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.