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Finding the Third Proportional to 249,791 and 380,906

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Solution

The third proportional to 249,791 and 380,906 is: 580,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,791 : 380,906 = 380,906 : x
  2. Step 2: Convert to fraction form
    249,791/380,906 = 380,906/x
  3. Step 3: Cross multiply
    249,791x = 380,906 × 380,906
  4. Step 4: Simplify right side
    249,791x = 145,089,380,836
  5. Step 5: Solve for x
    x = 145,089,380,836/249,791
  6. Step 6: Final answer
    x = 580,843.11

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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.