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Finding the Third Proportional to 173,637 and 378,702

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Solution

The third proportional to 173,637 and 378,702 is: 825,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,637 : 378,702 = 378,702 : x
  2. Step 2: Convert to fraction form
    173,637/378,702 = 378,702/x
  3. Step 3: Cross multiply
    173,637x = 378,702 × 378,702
  4. Step 4: Simplify right side
    173,637x = 143,415,204,804
  5. Step 5: Solve for x
    x = 143,415,204,804/173,637
  6. Step 6: Final answer
    x = 825,948.41

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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.