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Finding the Third Proportional to 321,798 and 693,431.63

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Solution

The third proportional to 321,798 and 693,431.63 is: 1,494,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,798 : 693,431.63 = 693,431.63 : x
  2. Step 2: Convert to fraction form
    321,798/693,431.63 = 693,431.63/x
  3. Step 3: Cross multiply
    321,798x = 693,431.63 × 693,431.63
  4. Step 4: Simplify right side
    321,798x = 480,847,418,550.14
  5. Step 5: Solve for x
    x = 480,847,418,550.14/321,798
  6. Step 6: Final answer
    x = 1,494,252.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.