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Finding the Third Proportional to 119,880 and 258,450

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Solution

The third proportional to 119,880 and 258,450 is: 557,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,880 : 258,450 = 258,450 : x
  2. Step 2: Convert to fraction form
    119,880/258,450 = 258,450/x
  3. Step 3: Cross multiply
    119,880x = 258,450 × 258,450
  4. Step 4: Simplify right side
    119,880x = 66,796,402,500
  5. Step 5: Solve for x
    x = 66,796,402,500/119,880
  6. Step 6: Final answer
    x = 557,193.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.