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Finding the Third Proportional to 176,384 and 379,840

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Solution

The third proportional to 176,384 and 379,840 is: 817,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,384 : 379,840 = 379,840 : x
  2. Step 2: Convert to fraction form
    176,384/379,840 = 379,840/x
  3. Step 3: Cross multiply
    176,384x = 379,840 × 379,840
  4. Step 4: Simplify right side
    176,384x = 144,278,425,600
  5. Step 5: Solve for x
    x = 144,278,425,600/176,384
  6. Step 6: Final answer
    x = 817,979.10

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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.