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Finding the Third Proportional to 119,830 and 260,800

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Solution

The third proportional to 119,830 and 260,800 is: 567,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,830 : 260,800 = 260,800 : x
  2. Step 2: Convert to fraction form
    119,830/260,800 = 260,800/x
  3. Step 3: Cross multiply
    119,830x = 260,800 × 260,800
  4. Step 4: Simplify right side
    119,830x = 68,016,640,000
  5. Step 5: Solve for x
    x = 68,016,640,000/119,830
  6. Step 6: Final answer
    x = 567,609.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.