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Finding the Third Proportional to 178,628 and 375,640

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Solution

The third proportional to 178,628 and 375,640 is: 789,940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,628 : 375,640 = 375,640 : x
  2. Step 2: Convert to fraction form
    178,628/375,640 = 375,640/x
  3. Step 3: Cross multiply
    178,628x = 375,640 × 375,640
  4. Step 4: Simplify right side
    178,628x = 141,105,409,600
  5. Step 5: Solve for x
    x = 141,105,409,600/178,628
  6. Step 6: Final answer
    x = 789,940.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.