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Finding the Third Proportional to 249,876 and 386,491

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Solution

The third proportional to 249,876 and 386,491 is: 597,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,876 : 386,491 = 386,491 : x
  2. Step 2: Convert to fraction form
    249,876/386,491 = 386,491/x
  3. Step 3: Cross multiply
    249,876x = 386,491 × 386,491
  4. Step 4: Simplify right side
    249,876x = 149,375,293,081
  5. Step 5: Solve for x
    x = 149,375,293,081/249,876
  6. Step 6: Final answer
    x = 597,797.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.