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Finding the Third Proportional to 250,211 and 387,284.50

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Solution

The third proportional to 250,211 and 387,284.50 is: 599,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,211 : 387,284.50 = 387,284.50 : x
  2. Step 2: Convert to fraction form
    250,211/387,284.50 = 387,284.50/x
  3. Step 3: Cross multiply
    250,211x = 387,284.50 × 387,284.50
  4. Step 4: Simplify right side
    250,211x = 149,989,283,940.25
  5. Step 5: Solve for x
    x = 149,989,283,940.25/250,211
  6. Step 6: Final answer
    x = 599,451.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.