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Finding the Third Proportional to 420,235 and 628,867.50

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Solution

The third proportional to 420,235 and 628,867.50 is: 941,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,235 : 628,867.50 = 628,867.50 : x
  2. Step 2: Convert to fraction form
    420,235/628,867.50 = 628,867.50/x
  3. Step 3: Cross multiply
    420,235x = 628,867.50 × 628,867.50
  4. Step 4: Simplify right side
    420,235x = 395,474,332,556.25
  5. Step 5: Solve for x
    x = 395,474,332,556.25/420,235
  6. Step 6: Final answer
    x = 941,079.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.