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Finding the Third Proportional to 249,103.50 and 396,561.75

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Solution

The third proportional to 249,103.50 and 396,561.75 is: 631,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,103.50 : 396,561.75 = 396,561.75 : x
  2. Step 2: Convert to fraction form
    249,103.50/396,561.75 = 396,561.75/x
  3. Step 3: Cross multiply
    249,103.50x = 396,561.75 × 396,561.75
  4. Step 4: Simplify right side
    249,103.50x = 157,261,221,563.06
  5. Step 5: Solve for x
    x = 157,261,221,563.06/249,103.50
  6. Step 6: Final answer
    x = 631,308.76

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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.