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Finding the Third Proportional to 83,242 and 128,083

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Solution

The third proportional to 83,242 and 128,083 is: 197,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,242 : 128,083 = 128,083 : x
  2. Step 2: Convert to fraction form
    83,242/128,083 = 128,083/x
  3. Step 3: Cross multiply
    83,242x = 128,083 × 128,083
  4. Step 4: Simplify right side
    83,242x = 16,405,254,889
  5. Step 5: Solve for x
    x = 16,405,254,889/83,242
  6. Step 6: Final answer
    x = 197,079.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.