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Finding the Third Proportional to 86,188 and 128,755

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Solution

The third proportional to 86,188 and 128,755 is: 192,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,188 : 128,755 = 128,755 : x
  2. Step 2: Convert to fraction form
    86,188/128,755 = 128,755/x
  3. Step 3: Cross multiply
    86,188x = 128,755 × 128,755
  4. Step 4: Simplify right side
    86,188x = 16,577,850,025
  5. Step 5: Solve for x
    x = 16,577,850,025/86,188
  6. Step 6: Final answer
    x = 192,345.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.