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Finding the Third Proportional to 286,405.88 and 617,189.63

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Solution

The third proportional to 286,405.88 and 617,189.63 is: 1,330,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,405.88 : 617,189.63 = 617,189.63 : x
  2. Step 2: Convert to fraction form
    286,405.88/617,189.63 = 617,189.63/x
  3. Step 3: Cross multiply
    286,405.88x = 617,189.63 × 617,189.63
  4. Step 4: Simplify right side
    286,405.88x = 380,923,033,207.64
  5. Step 5: Solve for x
    x = 380,923,033,207.64/286,405.88
  6. Step 6: Final answer
    x = 1,330,011.24

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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.