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Finding the Third Proportional to 178,830 and 365,861

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Solution

The third proportional to 178,830 and 365,861 is: 748,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,830 : 365,861 = 365,861 : x
  2. Step 2: Convert to fraction form
    178,830/365,861 = 365,861/x
  3. Step 3: Cross multiply
    178,830x = 365,861 × 365,861
  4. Step 4: Simplify right side
    178,830x = 133,854,271,321
  5. Step 5: Solve for x
    x = 133,854,271,321/178,830
  6. Step 6: Final answer
    x = 748,500.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.