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Finding the Third Proportional to 89,698 and 138,807

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Solution

The third proportional to 89,698 and 138,807 is: 214,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,698 : 138,807 = 138,807 : x
  2. Step 2: Convert to fraction form
    89,698/138,807 = 138,807/x
  3. Step 3: Cross multiply
    89,698x = 138,807 × 138,807
  4. Step 4: Simplify right side
    89,698x = 19,267,383,249
  5. Step 5: Solve for x
    x = 19,267,383,249/89,698
  6. Step 6: Final answer
    x = 214,802.82

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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.