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Finding the Third Proportional to 249,091 and 396,546

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Solution

The third proportional to 249,091 and 396,546 is: 631,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,091 : 396,546 = 396,546 : x
  2. Step 2: Convert to fraction form
    249,091/396,546 = 396,546/x
  3. Step 3: Cross multiply
    249,091x = 396,546 × 396,546
  4. Step 4: Simplify right side
    249,091x = 157,248,730,116
  5. Step 5: Solve for x
    x = 157,248,730,116/249,091
  6. Step 6: Final answer
    x = 631,290.29

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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.