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Finding the Third Proportional to 321,744 and 693,072

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Solution

The third proportional to 321,744 and 693,072 is: 1,492,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,744 : 693,072 = 693,072 : x
  2. Step 2: Convert to fraction form
    321,744/693,072 = 693,072/x
  3. Step 3: Cross multiply
    321,744x = 693,072 × 693,072
  4. Step 4: Simplify right side
    321,744x = 480,348,797,184
  5. Step 5: Solve for x
    x = 480,348,797,184/321,744
  6. Step 6: Final answer
    x = 1,492,953.40

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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.