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Finding the Third Proportional to 178,272 and 383,424

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Solution

The third proportional to 178,272 and 383,424 is: 824,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,272 : 383,424 = 383,424 : x
  2. Step 2: Convert to fraction form
    178,272/383,424 = 383,424/x
  3. Step 3: Cross multiply
    178,272x = 383,424 × 383,424
  4. Step 4: Simplify right side
    178,272x = 147,013,963,776
  5. Step 5: Solve for x
    x = 147,013,963,776/178,272
  6. Step 6: Final answer
    x = 824,660.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.