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Finding the Third Proportional to 217,088 and 325,216

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Solution

The third proportional to 217,088 and 325,216 is: 487,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,088 : 325,216 = 325,216 : x
  2. Step 2: Convert to fraction form
    217,088/325,216 = 325,216/x
  3. Step 3: Cross multiply
    217,088x = 325,216 × 325,216
  4. Step 4: Simplify right side
    217,088x = 105,765,446,656
  5. Step 5: Solve for x
    x = 105,765,446,656/217,088
  6. Step 6: Final answer
    x = 487,200.80

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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.