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Finding the Third Proportional to 312,928 and 640,730

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Solution

The third proportional to 312,928 and 640,730 is: 1,311,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,928 : 640,730 = 640,730 : x
  2. Step 2: Convert to fraction form
    312,928/640,730 = 640,730/x
  3. Step 3: Cross multiply
    312,928x = 640,730 × 640,730
  4. Step 4: Simplify right side
    312,928x = 410,534,932,900
  5. Step 5: Solve for x
    x = 410,534,932,900/312,928
  6. Step 6: Final answer
    x = 1,311,914.99

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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.