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Finding the Third Proportional to 121,138 and 173,403

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Solution

The third proportional to 121,138 and 173,403 is: 248,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,138 : 173,403 = 173,403 : x
  2. Step 2: Convert to fraction form
    121,138/173,403 = 173,403/x
  3. Step 3: Cross multiply
    121,138x = 173,403 × 173,403
  4. Step 4: Simplify right side
    121,138x = 30,068,600,409
  5. Step 5: Solve for x
    x = 30,068,600,409/121,138
  6. Step 6: Final answer
    x = 248,217.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.