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Finding the Third Proportional to 173,712 and 378,636

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Solution

The third proportional to 173,712 and 378,636 is: 825,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,712 : 378,636 = 378,636 : x
  2. Step 2: Convert to fraction form
    173,712/378,636 = 378,636/x
  3. Step 3: Cross multiply
    173,712x = 378,636 × 378,636
  4. Step 4: Simplify right side
    173,712x = 143,365,220,496
  5. Step 5: Solve for x
    x = 143,365,220,496/173,712
  6. Step 6: Final answer
    x = 825,304.07

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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.