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Finding the Third Proportional to 217,886.25 and 318,467.25

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Solution

The third proportional to 217,886.25 and 318,467.25 is: 465,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,886.25 : 318,467.25 = 318,467.25 : x
  2. Step 2: Convert to fraction form
    217,886.25/318,467.25 = 318,467.25/x
  3. Step 3: Cross multiply
    217,886.25x = 318,467.25 × 318,467.25
  4. Step 4: Simplify right side
    217,886.25x = 101,421,389,322.56
  5. Step 5: Solve for x
    x = 101,421,389,322.56/217,886.25
  6. Step 6: Final answer
    x = 465,478.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.