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Finding the Third Proportional to 321,653.21 and 693,127.13

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Solution

The third proportional to 321,653.21 and 693,127.13 is: 1,493,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,653.21 : 693,127.13 = 693,127.13 : x
  2. Step 2: Convert to fraction form
    321,653.21/693,127.13 = 693,127.13/x
  3. Step 3: Cross multiply
    321,653.21x = 693,127.13 × 693,127.13
  4. Step 4: Simplify right side
    321,653.21x = 480,425,211,410.77
  5. Step 5: Solve for x
    x = 480,425,211,410.77/321,653.21
  6. Step 6: Final answer
    x = 1,493,612.34

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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.