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Finding the Third Proportional to 87,178 and 138,119

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Solution

The third proportional to 87,178 and 138,119 is: 218,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,178 : 138,119 = 138,119 : x
  2. Step 2: Convert to fraction form
    87,178/138,119 = 138,119/x
  3. Step 3: Cross multiply
    87,178x = 138,119 × 138,119
  4. Step 4: Simplify right side
    87,178x = 19,076,858,161
  5. Step 5: Solve for x
    x = 19,076,858,161/87,178
  6. Step 6: Final answer
    x = 218,826.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.