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Finding the Third Proportional to 85,440 and 128,118

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Solution

The third proportional to 85,440 and 128,118 is: 192,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,440 : 128,118 = 128,118 : x
  2. Step 2: Convert to fraction form
    85,440/128,118 = 128,118/x
  3. Step 3: Cross multiply
    85,440x = 128,118 × 128,118
  4. Step 4: Simplify right side
    85,440x = 16,414,221,924
  5. Step 5: Solve for x
    x = 16,414,221,924/85,440
  6. Step 6: Final answer
    x = 192,114.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.