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Finding the Third Proportional to 249,840 and 380,976.75

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Solution

The third proportional to 249,840 and 380,976.75 is: 580,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,840 : 380,976.75 = 380,976.75 : x
  2. Step 2: Convert to fraction form
    249,840/380,976.75 = 380,976.75/x
  3. Step 3: Cross multiply
    249,840x = 380,976.75 × 380,976.75
  4. Step 4: Simplify right side
    249,840x = 145,143,284,040.56
  5. Step 5: Solve for x
    x = 145,143,284,040.56/249,840
  6. Step 6: Final answer
    x = 580,944.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.