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Finding the Third Proportional to 89,646 and 138,804

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Solution

The third proportional to 89,646 and 138,804 is: 214,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,646 : 138,804 = 138,804 : x
  2. Step 2: Convert to fraction form
    89,646/138,804 = 138,804/x
  3. Step 3: Cross multiply
    89,646x = 138,804 × 138,804
  4. Step 4: Simplify right side
    89,646x = 19,266,550,416
  5. Step 5: Solve for x
    x = 19,266,550,416/89,646
  6. Step 6: Final answer
    x = 214,918.13

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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.