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Finding the Third Proportional to 217,445.63 and 326,577.75

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Solution

The third proportional to 217,445.63 and 326,577.75 is: 490,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,445.63 : 326,577.75 = 326,577.75 : x
  2. Step 2: Convert to fraction form
    217,445.63/326,577.75 = 326,577.75/x
  3. Step 3: Cross multiply
    217,445.63x = 326,577.75 × 326,577.75
  4. Step 4: Simplify right side
    217,445.63x = 106,653,026,795.06
  5. Step 5: Solve for x
    x = 106,653,026,795.06/217,445.63
  6. Step 6: Final answer
    x = 490,481.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.