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Finding the Third Proportional to 313,774 and 646,123

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Solution

The third proportional to 313,774 and 646,123 is: 1,330,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,774 : 646,123 = 646,123 : x
  2. Step 2: Convert to fraction form
    313,774/646,123 = 646,123/x
  3. Step 3: Cross multiply
    313,774x = 646,123 × 646,123
  4. Step 4: Simplify right side
    313,774x = 417,474,931,129
  5. Step 5: Solve for x
    x = 417,474,931,129/313,774
  6. Step 6: Final answer
    x = 1,330,495.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.