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Finding the Third Proportional to 130,919.25 and 281,886

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Solution

The third proportional to 130,919.25 and 281,886 is: 606,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,919.25 : 281,886 = 281,886 : x
  2. Step 2: Convert to fraction form
    130,919.25/281,886 = 281,886/x
  3. Step 3: Cross multiply
    130,919.25x = 281,886 × 281,886
  4. Step 4: Simplify right side
    130,919.25x = 79,459,716,996
  5. Step 5: Solve for x
    x = 79,459,716,996/130,919.25
  6. Step 6: Final answer
    x = 606,936.85

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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.