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Finding the Third Proportional to 249,079 and 396,527.50

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Solution

The third proportional to 249,079 and 396,527.50 is: 631,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,079 : 396,527.50 = 396,527.50 : x
  2. Step 2: Convert to fraction form
    249,079/396,527.50 = 396,527.50/x
  3. Step 3: Cross multiply
    249,079x = 396,527.50 × 396,527.50
  4. Step 4: Simplify right side
    249,079x = 157,234,058,256.25
  5. Step 5: Solve for x
    x = 157,234,058,256.25/249,079
  6. Step 6: Final answer
    x = 631,261.80

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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.