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Finding the Third Proportional to 358,814 and 555,227

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Solution

The third proportional to 358,814 and 555,227 is: 859,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,814 : 555,227 = 555,227 : x
  2. Step 2: Convert to fraction form
    358,814/555,227 = 555,227/x
  3. Step 3: Cross multiply
    358,814x = 555,227 × 555,227
  4. Step 4: Simplify right side
    358,814x = 308,277,021,529
  5. Step 5: Solve for x
    x = 308,277,021,529/358,814
  6. Step 6: Final answer
    x = 859,155.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.