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Finding the Third Proportional to 179,394 and 380,655

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Solution

The third proportional to 179,394 and 380,655 is: 807,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,394 : 380,655 = 380,655 : x
  2. Step 2: Convert to fraction form
    179,394/380,655 = 380,655/x
  3. Step 3: Cross multiply
    179,394x = 380,655 × 380,655
  4. Step 4: Simplify right side
    179,394x = 144,898,229,025
  5. Step 5: Solve for x
    x = 144,898,229,025/179,394
  6. Step 6: Final answer
    x = 807,709.45

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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.