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Finding the Third Proportional to 178,228 and 383,240

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Solution

The third proportional to 178,228 and 383,240 is: 824,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,228 : 383,240 = 383,240 : x
  2. Step 2: Convert to fraction form
    178,228/383,240 = 383,240/x
  3. Step 3: Cross multiply
    178,228x = 383,240 × 383,240
  4. Step 4: Simplify right side
    178,228x = 146,872,897,600
  5. Step 5: Solve for x
    x = 146,872,897,600/178,228
  6. Step 6: Final answer
    x = 824,073.08

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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.