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Finding the Third Proportional to 179,381 and 380,628

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Solution

The third proportional to 179,381 and 380,628 is: 807,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,381 : 380,628 = 380,628 : x
  2. Step 2: Convert to fraction form
    179,381/380,628 = 380,628/x
  3. Step 3: Cross multiply
    179,381x = 380,628 × 380,628
  4. Step 4: Simplify right side
    179,381x = 144,877,674,384
  5. Step 5: Solve for x
    x = 144,877,674,384/179,381
  6. Step 6: Final answer
    x = 807,653.40

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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.