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Finding the Third Proportional to 231,966 and 355,437

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Solution

The third proportional to 231,966 and 355,437 is: 544,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,966 : 355,437 = 355,437 : x
  2. Step 2: Convert to fraction form
    231,966/355,437 = 355,437/x
  3. Step 3: Cross multiply
    231,966x = 355,437 × 355,437
  4. Step 4: Simplify right side
    231,966x = 126,335,460,969
  5. Step 5: Solve for x
    x = 126,335,460,969/231,966
  6. Step 6: Final answer
    x = 544,629.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.