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Finding the Third Proportional to 178,560 and 392,832

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Solution

The third proportional to 178,560 and 392,832 is: 864,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,560 : 392,832 = 392,832 : x
  2. Step 2: Convert to fraction form
    178,560/392,832 = 392,832/x
  3. Step 3: Cross multiply
    178,560x = 392,832 × 392,832
  4. Step 4: Simplify right side
    178,560x = 154,316,980,224
  5. Step 5: Solve for x
    x = 154,316,980,224/178,560
  6. Step 6: Final answer
    x = 864,230.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.