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Finding the Third Proportional to 178,880 and 392,320

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Solution

The third proportional to 178,880 and 392,320 is: 860,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,880 : 392,320 = 392,320 : x
  2. Step 2: Convert to fraction form
    178,880/392,320 = 392,320/x
  3. Step 3: Cross multiply
    178,880x = 392,320 × 392,320
  4. Step 4: Simplify right side
    178,880x = 153,914,982,400
  5. Step 5: Solve for x
    x = 153,914,982,400/178,880
  6. Step 6: Final answer
    x = 860,437.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.