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Finding the Third Proportional to 249,116 and 396,580

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Solution

The third proportional to 249,116 and 396,580 is: 631,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,116 : 396,580 = 396,580 : x
  2. Step 2: Convert to fraction form
    249,116/396,580 = 396,580/x
  3. Step 3: Cross multiply
    249,116x = 396,580 × 396,580
  4. Step 4: Simplify right side
    249,116x = 157,275,696,400
  5. Step 5: Solve for x
    x = 157,275,696,400/249,116
  6. Step 6: Final answer
    x = 631,335.19

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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.