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Finding the Third Proportional to 420,229.88 and 628,859.63

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Solution

The third proportional to 420,229.88 and 628,859.63 is: 941,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,229.88 : 628,859.63 = 628,859.63 : x
  2. Step 2: Convert to fraction form
    420,229.88/628,859.63 = 628,859.63/x
  3. Step 3: Cross multiply
    420,229.88x = 628,859.63 × 628,859.63
  4. Step 4: Simplify right side
    420,229.88x = 395,464,427,955.14
  5. Step 5: Solve for x
    x = 395,464,427,955.14/420,229.88
  6. Step 6: Final answer
    x = 941,066.91

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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.