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Finding the Third Proportional to 178,720 and 384,896

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Solution

The third proportional to 178,720 and 384,896 is: 828,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,720 : 384,896 = 384,896 : x
  2. Step 2: Convert to fraction form
    178,720/384,896 = 384,896/x
  3. Step 3: Cross multiply
    178,720x = 384,896 × 384,896
  4. Step 4: Simplify right side
    178,720x = 148,144,930,816
  5. Step 5: Solve for x
    x = 148,144,930,816/178,720
  6. Step 6: Final answer
    x = 828,921.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.