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Finding the Third Proportional to 249,109 and 396,570

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Solution

The third proportional to 249,109 and 396,570 is: 631,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,109 : 396,570 = 396,570 : x
  2. Step 2: Convert to fraction form
    249,109/396,570 = 396,570/x
  3. Step 3: Cross multiply
    249,109x = 396,570 × 396,570
  4. Step 4: Simplify right side
    249,109x = 157,267,764,900
  5. Step 5: Solve for x
    x = 157,267,764,900/249,109
  6. Step 6: Final answer
    x = 631,321.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.