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Finding the Third Proportional to 318,898 and 493,752

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Solution

The third proportional to 318,898 and 493,752 is: 764,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,898 : 493,752 = 493,752 : x
  2. Step 2: Convert to fraction form
    318,898/493,752 = 493,752/x
  3. Step 3: Cross multiply
    318,898x = 493,752 × 493,752
  4. Step 4: Simplify right side
    318,898x = 243,791,037,504
  5. Step 5: Solve for x
    x = 243,791,037,504/318,898
  6. Step 6: Final answer
    x = 764,479.67

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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.