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Finding the Third Proportional to 98,546 and 216,167

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Solution

The third proportional to 98,546 and 216,167 is: 474,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,546 : 216,167 = 216,167 : x
  2. Step 2: Convert to fraction form
    98,546/216,167 = 216,167/x
  3. Step 3: Cross multiply
    98,546x = 216,167 × 216,167
  4. Step 4: Simplify right side
    98,546x = 46,728,171,889
  5. Step 5: Solve for x
    x = 46,728,171,889/98,546
  6. Step 6: Final answer
    x = 474,176.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.