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Finding the Third Proportional to 60,885 and 130,842

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Solution

The third proportional to 60,885 and 130,842 is: 281,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,885 : 130,842 = 130,842 : x
  2. Step 2: Convert to fraction form
    60,885/130,842 = 130,842/x
  3. Step 3: Cross multiply
    60,885x = 130,842 × 130,842
  4. Step 4: Simplify right side
    60,885x = 17,119,628,964
  5. Step 5: Solve for x
    x = 17,119,628,964/60,885
  6. Step 6: Final answer
    x = 281,179.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.