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Finding the Third Proportional to 199,778 and 309,315

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Solution

The third proportional to 199,778 and 309,315 is: 478,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,778 : 309,315 = 309,315 : x
  2. Step 2: Convert to fraction form
    199,778/309,315 = 309,315/x
  3. Step 3: Cross multiply
    199,778x = 309,315 × 309,315
  4. Step 4: Simplify right side
    199,778x = 95,675,769,225
  5. Step 5: Solve for x
    x = 95,675,769,225/199,778
  6. Step 6: Final answer
    x = 478,910.44

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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.