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Finding the Third Proportional to 312,304 and 671,966

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Solution

The third proportional to 312,304 and 671,966 is: 1,445,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,304 : 671,966 = 671,966 : x
  2. Step 2: Convert to fraction form
    312,304/671,966 = 671,966/x
  3. Step 3: Cross multiply
    312,304x = 671,966 × 671,966
  4. Step 4: Simplify right side
    312,304x = 451,538,305,156
  5. Step 5: Solve for x
    x = 451,538,305,156/312,304
  6. Step 6: Final answer
    x = 1,445,829.40

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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.