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Finding the Third Proportional to 249,530 and 405,439

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Solution

The third proportional to 249,530 and 405,439 is: 658,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,530 : 405,439 = 405,439 : x
  2. Step 2: Convert to fraction form
    249,530/405,439 = 405,439/x
  3. Step 3: Cross multiply
    249,530x = 405,439 × 405,439
  4. Step 4: Simplify right side
    249,530x = 164,380,782,721
  5. Step 5: Solve for x
    x = 164,380,782,721/249,530
  6. Step 6: Final answer
    x = 658,761.60

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.