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Finding the Third Proportional to 318,938 and 493,842

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Solution

The third proportional to 318,938 and 493,842 is: 764,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,938 : 493,842 = 493,842 : x
  2. Step 2: Convert to fraction form
    318,938/493,842 = 493,842/x
  3. Step 3: Cross multiply
    318,938x = 493,842 × 493,842
  4. Step 4: Simplify right side
    318,938x = 243,879,920,964
  5. Step 5: Solve for x
    x = 243,879,920,964/318,938
  6. Step 6: Final answer
    x = 764,662.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.