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Finding the Third Proportional to 189,513 and 414,631

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Solution

The third proportional to 189,513 and 414,631 is: 907,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,513 : 414,631 = 414,631 : x
  2. Step 2: Convert to fraction form
    189,513/414,631 = 414,631/x
  3. Step 3: Cross multiply
    189,513x = 414,631 × 414,631
  4. Step 4: Simplify right side
    189,513x = 171,918,866,161
  5. Step 5: Solve for x
    x = 171,918,866,161/189,513
  6. Step 6: Final answer
    x = 907,161.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.