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Finding the Third Proportional to 196,905 and 305,487

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Solution

The third proportional to 196,905 and 305,487 is: 473,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,905 : 305,487 = 305,487 : x
  2. Step 2: Convert to fraction form
    196,905/305,487 = 305,487/x
  3. Step 3: Cross multiply
    196,905x = 305,487 × 305,487
  4. Step 4: Simplify right side
    196,905x = 93,322,307,169
  5. Step 5: Solve for x
    x = 93,322,307,169/196,905
  6. Step 6: Final answer
    x = 473,945.85

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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.