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Finding the Third Proportional to 85,140 and 128,898

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Solution

The third proportional to 85,140 and 128,898 is: 195,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,140 : 128,898 = 128,898 : x
  2. Step 2: Convert to fraction form
    85,140/128,898 = 128,898/x
  3. Step 3: Cross multiply
    85,140x = 128,898 × 128,898
  4. Step 4: Simplify right side
    85,140x = 16,614,694,404
  5. Step 5: Solve for x
    x = 16,614,694,404/85,140
  6. Step 6: Final answer
    x = 195,145.58

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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.