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Finding the Third Proportional to 179,387 and 380,640

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Solution

The third proportional to 179,387 and 380,640 is: 807,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,387 : 380,640 = 380,640 : x
  2. Step 2: Convert to fraction form
    179,387/380,640 = 380,640/x
  3. Step 3: Cross multiply
    179,387x = 380,640 × 380,640
  4. Step 4: Simplify right side
    179,387x = 144,886,809,600
  5. Step 5: Solve for x
    x = 144,886,809,600/179,387
  6. Step 6: Final answer
    x = 807,677.31

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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.