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Finding the Third Proportional to 321,964.88 and 699,242.63

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Solution

The third proportional to 321,964.88 and 699,242.63 is: 1,518,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,964.88 : 699,242.63 = 699,242.63 : x
  2. Step 2: Convert to fraction form
    321,964.88/699,242.63 = 699,242.63/x
  3. Step 3: Cross multiply
    321,964.88x = 699,242.63 × 699,242.63
  4. Step 4: Simplify right side
    321,964.88x = 488,940,248,616.89
  5. Step 5: Solve for x
    x = 488,940,248,616.89/321,964.88
  6. Step 6: Final answer
    x = 1,518,613.63

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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.