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Finding the Third Proportional to 274,020 and 409,916

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Solution

The third proportional to 274,020 and 409,916 is: 613,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,020 : 409,916 = 409,916 : x
  2. Step 2: Convert to fraction form
    274,020/409,916 = 409,916/x
  3. Step 3: Cross multiply
    274,020x = 409,916 × 409,916
  4. Step 4: Simplify right side
    274,020x = 168,031,127,056
  5. Step 5: Solve for x
    x = 168,031,127,056/274,020
  6. Step 6: Final answer
    x = 613,207.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.