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Finding the Third Proportional to 178,690 and 388,484

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Solution

The third proportional to 178,690 and 388,484 is: 844,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,690 : 388,484 = 388,484 : x
  2. Step 2: Convert to fraction form
    178,690/388,484 = 388,484/x
  3. Step 3: Cross multiply
    178,690x = 388,484 × 388,484
  4. Step 4: Simplify right side
    178,690x = 150,919,818,256
  5. Step 5: Solve for x
    x = 150,919,818,256/178,690
  6. Step 6: Final answer
    x = 844,590.17

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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.