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Finding the Third Proportional to 121,148 and 282,980

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Solution

The third proportional to 121,148 and 282,980 is: 660,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,148 : 282,980 = 282,980 : x
  2. Step 2: Convert to fraction form
    121,148/282,980 = 282,980/x
  3. Step 3: Cross multiply
    121,148x = 282,980 × 282,980
  4. Step 4: Simplify right side
    121,148x = 80,077,680,400
  5. Step 5: Solve for x
    x = 80,077,680,400/121,148
  6. Step 6: Final answer
    x = 660,990.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.