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Finding the Third Proportional to 189,516 and 412,440

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Solution

The third proportional to 189,516 and 412,440 is: 897,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,516 : 412,440 = 412,440 : x
  2. Step 2: Convert to fraction form
    189,516/412,440 = 412,440/x
  3. Step 3: Cross multiply
    189,516x = 412,440 × 412,440
  4. Step 4: Simplify right side
    189,516x = 170,106,753,600
  5. Step 5: Solve for x
    x = 170,106,753,600/189,516
  6. Step 6: Final answer
    x = 897,585.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.