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Finding the Third Proportional to 179,385 and 380,637

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Solution

The third proportional to 179,385 and 380,637 is: 807,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,385 : 380,637 = 380,637 : x
  2. Step 2: Convert to fraction form
    179,385/380,637 = 380,637/x
  3. Step 3: Cross multiply
    179,385x = 380,637 × 380,637
  4. Step 4: Simplify right side
    179,385x = 144,884,525,769
  5. Step 5: Solve for x
    x = 144,884,525,769/179,385
  6. Step 6: Final answer
    x = 807,673.58

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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.