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Finding the Third Proportional to 178,088 and 380,720

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Solution

The third proportional to 178,088 and 380,720 is: 813,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,088 : 380,720 = 380,720 : x
  2. Step 2: Convert to fraction form
    178,088/380,720 = 380,720/x
  3. Step 3: Cross multiply
    178,088x = 380,720 × 380,720
  4. Step 4: Simplify right side
    178,088x = 144,947,718,400
  5. Step 5: Solve for x
    x = 144,947,718,400/178,088
  6. Step 6: Final answer
    x = 813,910.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.