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Finding the Third Proportional to 121,298 and 173,690

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Solution

The third proportional to 121,298 and 173,690 is: 248,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,298 : 173,690 = 173,690 : x
  2. Step 2: Convert to fraction form
    121,298/173,690 = 173,690/x
  3. Step 3: Cross multiply
    121,298x = 173,690 × 173,690
  4. Step 4: Simplify right side
    121,298x = 30,168,216,100
  5. Step 5: Solve for x
    x = 30,168,216,100/121,298
  6. Step 6: Final answer
    x = 248,711.57

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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.