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Finding the Third Proportional to 249,087 and 396,540

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Solution

The third proportional to 249,087 and 396,540 is: 631,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,087 : 396,540 = 396,540 : x
  2. Step 2: Convert to fraction form
    249,087/396,540 = 396,540/x
  3. Step 3: Cross multiply
    249,087x = 396,540 × 396,540
  4. Step 4: Simplify right side
    249,087x = 157,243,971,600
  5. Step 5: Solve for x
    x = 157,243,971,600/249,087
  6. Step 6: Final answer
    x = 631,281.33

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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.