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Finding the Third Proportional to 117,890 and 173,355

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Solution

The third proportional to 117,890 and 173,355 is: 254,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,890 : 173,355 = 173,355 : x
  2. Step 2: Convert to fraction form
    117,890/173,355 = 173,355/x
  3. Step 3: Cross multiply
    117,890x = 173,355 × 173,355
  4. Step 4: Simplify right side
    117,890x = 30,051,956,025
  5. Step 5: Solve for x
    x = 30,051,956,025/117,890
  6. Step 6: Final answer
    x = 254,915.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.