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Finding the Third Proportional to 84,810 and 134,707

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Solution

The third proportional to 84,810 and 134,707 is: 213,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,810 : 134,707 = 134,707 : x
  2. Step 2: Convert to fraction form
    84,810/134,707 = 134,707/x
  3. Step 3: Cross multiply
    84,810x = 134,707 × 134,707
  4. Step 4: Simplify right side
    84,810x = 18,145,975,849
  5. Step 5: Solve for x
    x = 18,145,975,849/84,810
  6. Step 6: Final answer
    x = 213,960.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.