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Finding the Third Proportional to 318,932 and 493,950

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Solution

The third proportional to 318,932 and 493,950 is: 765,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,932 : 493,950 = 493,950 : x
  2. Step 2: Convert to fraction form
    318,932/493,950 = 493,950/x
  3. Step 3: Cross multiply
    318,932x = 493,950 × 493,950
  4. Step 4: Simplify right side
    318,932x = 243,986,602,500
  5. Step 5: Solve for x
    x = 243,986,602,500/318,932
  6. Step 6: Final answer
    x = 765,011.36

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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.