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Finding the Third Proportional to 312,232 and 671,800

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Solution

The third proportional to 312,232 and 671,800 is: 1,445,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,232 : 671,800 = 671,800 : x
  2. Step 2: Convert to fraction form
    312,232/671,800 = 671,800/x
  3. Step 3: Cross multiply
    312,232x = 671,800 × 671,800
  4. Step 4: Simplify right side
    312,232x = 451,315,240,000
  5. Step 5: Solve for x
    x = 451,315,240,000/312,232
  6. Step 6: Final answer
    x = 1,445,448.38

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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.