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Finding the Third Proportional to 177,640 and 377,888

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Solution

The third proportional to 177,640 and 377,888 is: 803,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,640 : 377,888 = 377,888 : x
  2. Step 2: Convert to fraction form
    177,640/377,888 = 377,888/x
  3. Step 3: Cross multiply
    177,640x = 377,888 × 377,888
  4. Step 4: Simplify right side
    177,640x = 142,799,340,544
  5. Step 5: Solve for x
    x = 142,799,340,544/177,640
  6. Step 6: Final answer
    x = 803,869.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.