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Finding the Third Proportional to 315,361 and 476,810

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Solution

The third proportional to 315,361 and 476,810 is: 720,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,361 : 476,810 = 476,810 : x
  2. Step 2: Convert to fraction form
    315,361/476,810 = 476,810/x
  3. Step 3: Cross multiply
    315,361x = 476,810 × 476,810
  4. Step 4: Simplify right side
    315,361x = 227,347,776,100
  5. Step 5: Solve for x
    x = 227,347,776,100/315,361
  6. Step 6: Final answer
    x = 720,912.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.