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Finding the Third Proportional to 249,434 and 380,378

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Solution

The third proportional to 249,434 and 380,378 is: 580,062.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,434 : 380,378 = 380,378 : x
  2. Step 2: Convert to fraction form
    249,434/380,378 = 380,378/x
  3. Step 3: Cross multiply
    249,434x = 380,378 × 380,378
  4. Step 4: Simplify right side
    249,434x = 144,687,422,884
  5. Step 5: Solve for x
    x = 144,687,422,884/249,434
  6. Step 6: Final answer
    x = 580,062.95

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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.