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Finding the Third Proportional to 178,486 and 388,076

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Solution

The third proportional to 178,486 and 388,076 is: 843,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,486 : 388,076 = 388,076 : x
  2. Step 2: Convert to fraction form
    178,486/388,076 = 388,076/x
  3. Step 3: Cross multiply
    178,486x = 388,076 × 388,076
  4. Step 4: Simplify right side
    178,486x = 150,602,981,776
  5. Step 5: Solve for x
    x = 150,602,981,776/178,486
  6. Step 6: Final answer
    x = 843,780.36

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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.