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Finding the Third Proportional to 286,200 and 440,100

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Solution

The third proportional to 286,200 and 440,100 is: 676,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,200 : 440,100 = 440,100 : x
  2. Step 2: Convert to fraction form
    286,200/440,100 = 440,100/x
  3. Step 3: Cross multiply
    286,200x = 440,100 × 440,100
  4. Step 4: Simplify right side
    286,200x = 193,688,010,000
  5. Step 5: Solve for x
    x = 193,688,010,000/286,200
  6. Step 6: Final answer
    x = 676,757.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.