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Finding the Third Proportional to 274,006 and 429,945

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Solution

The third proportional to 274,006 and 429,945 is: 674,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,006 : 429,945 = 429,945 : x
  2. Step 2: Convert to fraction form
    274,006/429,945 = 429,945/x
  3. Step 3: Cross multiply
    274,006x = 429,945 × 429,945
  4. Step 4: Simplify right side
    274,006x = 184,852,703,025
  5. Step 5: Solve for x
    x = 184,852,703,025/274,006
  6. Step 6: Final answer
    x = 674,630.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.