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Finding the Third Proportional to 312,637 and 681,189

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Solution

The third proportional to 312,637 and 681,189 is: 1,484,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,637 : 681,189 = 681,189 : x
  2. Step 2: Convert to fraction form
    312,637/681,189 = 681,189/x
  3. Step 3: Cross multiply
    312,637x = 681,189 × 681,189
  4. Step 4: Simplify right side
    312,637x = 464,018,453,721
  5. Step 5: Solve for x
    x = 464,018,453,721/312,637
  6. Step 6: Final answer
    x = 1,484,208.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.