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Finding the Third Proportional to 312,539 and 671,674

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Solution

The third proportional to 312,539 and 671,674 is: 1,443,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,539 : 671,674 = 671,674 : x
  2. Step 2: Convert to fraction form
    312,539/671,674 = 671,674/x
  3. Step 3: Cross multiply
    312,539x = 671,674 × 671,674
  4. Step 4: Simplify right side
    312,539x = 451,145,962,276
  5. Step 5: Solve for x
    x = 451,145,962,276/312,539
  6. Step 6: Final answer
    x = 1,443,486.93

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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.