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Finding the Third Proportional to 319,637 and 678,691

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Solution

The third proportional to 319,637 and 678,691 is: 1,441,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,637 : 678,691 = 678,691 : x
  2. Step 2: Convert to fraction form
    319,637/678,691 = 678,691/x
  3. Step 3: Cross multiply
    319,637x = 678,691 × 678,691
  4. Step 4: Simplify right side
    319,637x = 460,621,473,481
  5. Step 5: Solve for x
    x = 460,621,473,481/319,637
  6. Step 6: Final answer
    x = 1,441,076.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.