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Finding the Third Proportional to 133,157.25 and 289,278

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Solution

The third proportional to 133,157.25 and 289,278 is: 628,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,157.25 : 289,278 = 289,278 : x
  2. Step 2: Convert to fraction form
    133,157.25/289,278 = 289,278/x
  3. Step 3: Cross multiply
    133,157.25x = 289,278 × 289,278
  4. Step 4: Simplify right side
    133,157.25x = 83,681,761,284
  5. Step 5: Solve for x
    x = 83,681,761,284/133,157.25
  6. Step 6: Final answer
    x = 628,443.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.