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Finding the Third Proportional to 178,848 and 385,119

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Solution

The third proportional to 178,848 and 385,119 is: 829,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,848 : 385,119 = 385,119 : x
  2. Step 2: Convert to fraction form
    178,848/385,119 = 385,119/x
  3. Step 3: Cross multiply
    178,848x = 385,119 × 385,119
  4. Step 4: Simplify right side
    178,848x = 148,316,644,161
  5. Step 5: Solve for x
    x = 148,316,644,161/178,848
  6. Step 6: Final answer
    x = 829,288.80

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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.