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Finding the Third Proportional to 85,130 and 128,878

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Solution

The third proportional to 85,130 and 128,878 is: 195,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,130 : 128,878 = 128,878 : x
  2. Step 2: Convert to fraction form
    85,130/128,878 = 128,878/x
  3. Step 3: Cross multiply
    85,130x = 128,878 × 128,878
  4. Step 4: Simplify right side
    85,130x = 16,609,538,884
  5. Step 5: Solve for x
    x = 16,609,538,884/85,130
  6. Step 6: Final answer
    x = 195,107.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.