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Finding the Third Proportional to 321,618 and 485,703

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Solution

The third proportional to 321,618 and 485,703 is: 733,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,618 : 485,703 = 485,703 : x
  2. Step 2: Convert to fraction form
    321,618/485,703 = 485,703/x
  3. Step 3: Cross multiply
    321,618x = 485,703 × 485,703
  4. Step 4: Simplify right side
    321,618x = 235,907,404,209
  5. Step 5: Solve for x
    x = 235,907,404,209/321,618
  6. Step 6: Final answer
    x = 733,501.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.