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Finding the Third Proportional to 89,705 and 138,809

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Solution

The third proportional to 89,705 and 138,809 is: 214,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,705 : 138,809 = 138,809 : x
  2. Step 2: Convert to fraction form
    89,705/138,809 = 138,809/x
  3. Step 3: Cross multiply
    89,705x = 138,809 × 138,809
  4. Step 4: Simplify right side
    89,705x = 19,267,938,481
  5. Step 5: Solve for x
    x = 19,267,938,481/89,705
  6. Step 6: Final answer
    x = 214,792.25

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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.