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Finding the Third Proportional to 121,146 and 282,975

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Solution

The third proportional to 121,146 and 282,975 is: 660,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,146 : 282,975 = 282,975 : x
  2. Step 2: Convert to fraction form
    121,146/282,975 = 282,975/x
  3. Step 3: Cross multiply
    121,146x = 282,975 × 282,975
  4. Step 4: Simplify right side
    121,146x = 80,074,850,625
  5. Step 5: Solve for x
    x = 80,074,850,625/121,146
  6. Step 6: Final answer
    x = 660,978.08

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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.