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Finding the Third Proportional to 146,818 and 221,603

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Solution

The third proportional to 146,818 and 221,603 is: 334,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,818 : 221,603 = 221,603 : x
  2. Step 2: Convert to fraction form
    146,818/221,603 = 221,603/x
  3. Step 3: Cross multiply
    146,818x = 221,603 × 221,603
  4. Step 4: Simplify right side
    146,818x = 49,107,889,609
  5. Step 5: Solve for x
    x = 49,107,889,609/146,818
  6. Step 6: Final answer
    x = 334,481.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.