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Finding the Third Proportional to 312,017 and 638,820

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Solution

The third proportional to 312,017 and 638,820 is: 1,307,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,017 : 638,820 = 638,820 : x
  2. Step 2: Convert to fraction form
    312,017/638,820 = 638,820/x
  3. Step 3: Cross multiply
    312,017x = 638,820 × 638,820
  4. Step 4: Simplify right side
    312,017x = 408,090,992,400
  5. Step 5: Solve for x
    x = 408,090,992,400/312,017
  6. Step 6: Final answer
    x = 1,307,912.69

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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.