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Finding the Third Proportional to 275,256 and 402,261

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Solution

The third proportional to 275,256 and 402,261 is: 587,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,256 : 402,261 = 402,261 : x
  2. Step 2: Convert to fraction form
    275,256/402,261 = 402,261/x
  3. Step 3: Cross multiply
    275,256x = 402,261 × 402,261
  4. Step 4: Simplify right side
    275,256x = 161,813,912,121
  5. Step 5: Solve for x
    x = 161,813,912,121/275,256
  6. Step 6: Final answer
    x = 587,866.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.