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Finding the Third Proportional to 115,258 and 171,217

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Solution

The third proportional to 115,258 and 171,217 is: 254,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,258 : 171,217 = 171,217 : x
  2. Step 2: Convert to fraction form
    115,258/171,217 = 171,217/x
  3. Step 3: Cross multiply
    115,258x = 171,217 × 171,217
  4. Step 4: Simplify right side
    115,258x = 29,315,261,089
  5. Step 5: Solve for x
    x = 29,315,261,089/115,258
  6. Step 6: Final answer
    x = 254,344.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.