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Finding the Third Proportional to 312,835 and 683,037

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Solution

The third proportional to 312,835 and 683,037 is: 1,491,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,835 : 683,037 = 683,037 : x
  2. Step 2: Convert to fraction form
    312,835/683,037 = 683,037/x
  3. Step 3: Cross multiply
    312,835x = 683,037 × 683,037
  4. Step 4: Simplify right side
    312,835x = 466,539,543,369
  5. Step 5: Solve for x
    x = 466,539,543,369/312,835
  6. Step 6: Final answer
    x = 1,491,327.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.