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Finding the Third Proportional to 178,484 and 388,072

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Solution

The third proportional to 178,484 and 388,072 is: 843,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,484 : 388,072 = 388,072 : x
  2. Step 2: Convert to fraction form
    178,484/388,072 = 388,072/x
  3. Step 3: Cross multiply
    178,484x = 388,072 × 388,072
  4. Step 4: Simplify right side
    178,484x = 150,599,877,184
  5. Step 5: Solve for x
    x = 150,599,877,184/178,484
  6. Step 6: Final answer
    x = 843,772.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.