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Finding the Third Proportional to 178,182 and 359,281

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Solution

The third proportional to 178,182 and 359,281 is: 724,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,182 : 359,281 = 359,281 : x
  2. Step 2: Convert to fraction form
    178,182/359,281 = 359,281/x
  3. Step 3: Cross multiply
    178,182x = 359,281 × 359,281
  4. Step 4: Simplify right side
    178,182x = 129,082,836,961
  5. Step 5: Solve for x
    x = 129,082,836,961/178,182
  6. Step 6: Final answer
    x = 724,443.75

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.