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Finding the Third Proportional to 249,796 and 380,912

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Solution

The third proportional to 249,796 and 380,912 is: 580,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,796 : 380,912 = 380,912 : x
  2. Step 2: Convert to fraction form
    249,796/380,912 = 380,912/x
  3. Step 3: Cross multiply
    249,796x = 380,912 × 380,912
  4. Step 4: Simplify right side
    249,796x = 145,093,951,744
  5. Step 5: Solve for x
    x = 145,093,951,744/249,796
  6. Step 6: Final answer
    x = 580,849.78

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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.