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Finding the Third Proportional to 178,306 and 391,601

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Solution

The third proportional to 178,306 and 391,601 is: 860,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,306 : 391,601 = 391,601 : x
  2. Step 2: Convert to fraction form
    178,306/391,601 = 391,601/x
  3. Step 3: Cross multiply
    178,306x = 391,601 × 391,601
  4. Step 4: Simplify right side
    178,306x = 153,351,343,201
  5. Step 5: Solve for x
    x = 153,351,343,201/178,306
  6. Step 6: Final answer
    x = 860,045.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.