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Finding the Third Proportional to 130,914 and 281,868.75

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Solution

The third proportional to 130,914 and 281,868.75 is: 606,886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,914 : 281,868.75 = 281,868.75 : x
  2. Step 2: Convert to fraction form
    130,914/281,868.75 = 281,868.75/x
  3. Step 3: Cross multiply
    130,914x = 281,868.75 × 281,868.75
  4. Step 4: Simplify right side
    130,914x = 79,449,992,226.56
  5. Step 5: Solve for x
    x = 79,449,992,226.56/130,914
  6. Step 6: Final answer
    x = 606,886.90

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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.