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Finding the Third Proportional to 397,699.88 and 864,560.25

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Solution

The third proportional to 397,699.88 and 864,560.25 is: 1,879,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,699.88 : 864,560.25 = 864,560.25 : x
  2. Step 2: Convert to fraction form
    397,699.88/864,560.25 = 864,560.25/x
  3. Step 3: Cross multiply
    397,699.88x = 864,560.25 × 864,560.25
  4. Step 4: Simplify right side
    397,699.88x = 747,464,425,880.06
  5. Step 5: Solve for x
    x = 747,464,425,880.06/397,699.88
  6. Step 6: Final answer
    x = 1,879,468.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.