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Finding the Third Proportional to 312,918 and 673,008

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Solution

The third proportional to 312,918 and 673,008 is: 1,447,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,918 : 673,008 = 673,008 : x
  2. Step 2: Convert to fraction form
    312,918/673,008 = 673,008/x
  3. Step 3: Cross multiply
    312,918x = 673,008 × 673,008
  4. Step 4: Simplify right side
    312,918x = 452,939,768,064
  5. Step 5: Solve for x
    x = 452,939,768,064/312,918
  6. Step 6: Final answer
    x = 1,447,471.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.