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Finding the Third Proportional to 198,010 and 306,951

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Solution

The third proportional to 198,010 and 306,951 is: 475,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,010 : 306,951 = 306,951 : x
  2. Step 2: Convert to fraction form
    198,010/306,951 = 306,951/x
  3. Step 3: Cross multiply
    198,010x = 306,951 × 306,951
  4. Step 4: Simplify right side
    198,010x = 94,218,916,401
  5. Step 5: Solve for x
    x = 94,218,916,401/198,010
  6. Step 6: Final answer
    x = 475,829.08

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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.