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Finding the Third Proportional to 89,239 and 138,178

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Solution

The third proportional to 89,239 and 138,178 is: 213,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,239 : 138,178 = 138,178 : x
  2. Step 2: Convert to fraction form
    89,239/138,178 = 138,178/x
  3. Step 3: Cross multiply
    89,239x = 138,178 × 138,178
  4. Step 4: Simplify right side
    89,239x = 19,093,159,684
  5. Step 5: Solve for x
    x = 19,093,159,684/89,239
  6. Step 6: Final answer
    x = 213,955.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.