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Finding the Third Proportional to 312,284 and 671,930

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Solution

The third proportional to 312,284 and 671,930 is: 1,445,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,284 : 671,930 = 671,930 : x
  2. Step 2: Convert to fraction form
    312,284/671,930 = 671,930/x
  3. Step 3: Cross multiply
    312,284x = 671,930 × 671,930
  4. Step 4: Simplify right side
    312,284x = 451,489,924,900
  5. Step 5: Solve for x
    x = 451,489,924,900/312,284
  6. Step 6: Final answer
    x = 1,445,767.07

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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.