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Finding the Third Proportional to 178,980 and 376,376

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Solution

The third proportional to 178,980 and 376,376 is: 791,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,980 : 376,376 = 376,376 : x
  2. Step 2: Convert to fraction form
    178,980/376,376 = 376,376/x
  3. Step 3: Cross multiply
    178,980x = 376,376 × 376,376
  4. Step 4: Simplify right side
    178,980x = 141,658,893,376
  5. Step 5: Solve for x
    x = 141,658,893,376/178,980
  6. Step 6: Final answer
    x = 791,478.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.