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Finding the Third Proportional to 121,284.75 and 173,674.50

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Solution

The third proportional to 121,284.75 and 173,674.50 is: 248,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,284.75 : 173,674.50 = 173,674.50 : x
  2. Step 2: Convert to fraction form
    121,284.75/173,674.50 = 173,674.50/x
  3. Step 3: Cross multiply
    121,284.75x = 173,674.50 × 173,674.50
  4. Step 4: Simplify right side
    121,284.75x = 30,162,831,950.25
  5. Step 5: Solve for x
    x = 30,162,831,950.25/121,284.75
  6. Step 6: Final answer
    x = 248,694.35

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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.