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Finding the Third Proportional to 312,914 and 642,416

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Solution

The third proportional to 312,914 and 642,416 is: 1,318,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,914 : 642,416 = 642,416 : x
  2. Step 2: Convert to fraction form
    312,914/642,416 = 642,416/x
  3. Step 3: Cross multiply
    312,914x = 642,416 × 642,416
  4. Step 4: Simplify right side
    312,914x = 412,698,317,056
  5. Step 5: Solve for x
    x = 412,698,317,056/312,914
  6. Step 6: Final answer
    x = 1,318,887.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.