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Finding the Third Proportional to 178,128,882 and 392,491,980

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Solution

The third proportional to 178,128,882 and 392,491,980 is: 864,823,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,128,882 : 392,491,980 = 392,491,980 : x
  2. Step 2: Convert to fraction form
    178,128,882/392,491,980 = 392,491,980/x
  3. Step 3: Cross multiply
    178,128,882x = 392,491,980 × 392,491,980
  4. Step 4: Simplify right side
    178,128,882x = 154,049,954,364,320,384
  5. Step 5: Solve for x
    x = 154,049,954,364,320,384/178,128,882
  6. Step 6: Final answer
    x = 864,823,001.38

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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.