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Finding the Third Proportional to 130,916 and 281,873

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Solution

The third proportional to 130,916 and 281,873 is: 606,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,916 : 281,873 = 281,873 : x
  2. Step 2: Convert to fraction form
    130,916/281,873 = 281,873/x
  3. Step 3: Cross multiply
    130,916x = 281,873 × 281,873
  4. Step 4: Simplify right side
    130,916x = 79,452,388,129
  5. Step 5: Solve for x
    x = 79,452,388,129/130,916
  6. Step 6: Final answer
    x = 606,895.93

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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.