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Finding the Third Proportional to 261,916 and 409,722

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Solution

The third proportional to 261,916 and 409,722 is: 640,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,916 : 409,722 = 409,722 : x
  2. Step 2: Convert to fraction form
    261,916/409,722 = 409,722/x
  3. Step 3: Cross multiply
    261,916x = 409,722 × 409,722
  4. Step 4: Simplify right side
    261,916x = 167,872,117,284
  5. Step 5: Solve for x
    x = 167,872,117,284/261,916
  6. Step 6: Final answer
    x = 640,938.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.