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Finding the Third Proportional to 89,036 and 138,660

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Solution

The third proportional to 89,036 and 138,660 is: 215,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,036 : 138,660 = 138,660 : x
  2. Step 2: Convert to fraction form
    89,036/138,660 = 138,660/x
  3. Step 3: Cross multiply
    89,036x = 138,660 × 138,660
  4. Step 4: Simplify right side
    89,036x = 19,226,595,600
  5. Step 5: Solve for x
    x = 19,226,595,600/89,036
  6. Step 6: Final answer
    x = 215,941.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.