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Finding the Third Proportional to 261,912 and 409,716

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Solution

The third proportional to 261,912 and 409,716 is: 640,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,912 : 409,716 = 409,716 : x
  2. Step 2: Convert to fraction form
    261,912/409,716 = 409,716/x
  3. Step 3: Cross multiply
    261,912x = 409,716 × 409,716
  4. Step 4: Simplify right side
    261,912x = 167,867,200,656
  5. Step 5: Solve for x
    x = 167,867,200,656/261,912
  6. Step 6: Final answer
    x = 640,929.78

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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.