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Finding the Third Proportional to 213,890 and 464,729

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Solution

The third proportional to 213,890 and 464,729 is: 1,009,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,890 : 464,729 = 464,729 : x
  2. Step 2: Convert to fraction form
    213,890/464,729 = 464,729/x
  3. Step 3: Cross multiply
    213,890x = 464,729 × 464,729
  4. Step 4: Simplify right side
    213,890x = 215,973,043,441
  5. Step 5: Solve for x
    x = 215,973,043,441/213,890
  6. Step 6: Final answer
    x = 1,009,738.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.