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Finding the Third Proportional to 249,804 and 380,916

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Solution

The third proportional to 249,804 and 380,916 is: 580,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,804 : 380,916 = 380,916 : x
  2. Step 2: Convert to fraction form
    249,804/380,916 = 380,916/x
  3. Step 3: Cross multiply
    249,804x = 380,916 × 380,916
  4. Step 4: Simplify right side
    249,804x = 145,096,999,056
  5. Step 5: Solve for x
    x = 145,096,999,056/249,804
  6. Step 6: Final answer
    x = 580,843.38

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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.