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Finding the Third Proportional to 249,804 and 380,963

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Solution

The third proportional to 249,804 and 380,963 is: 580,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,804 : 380,963 = 380,963 : x
  2. Step 2: Convert to fraction form
    249,804/380,963 = 380,963/x
  3. Step 3: Cross multiply
    249,804x = 380,963 × 380,963
  4. Step 4: Simplify right side
    249,804x = 145,132,807,369
  5. Step 5: Solve for x
    x = 145,132,807,369/249,804
  6. Step 6: Final answer
    x = 580,986.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.