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Finding the Third Proportional to 249,254.50 and 543,620.75

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Solution

The third proportional to 249,254.50 and 543,620.75 is: 1,185,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,254.50 : 543,620.75 = 543,620.75 : x
  2. Step 2: Convert to fraction form
    249,254.50/543,620.75 = 543,620.75/x
  3. Step 3: Cross multiply
    249,254.50x = 543,620.75 × 543,620.75
  4. Step 4: Simplify right side
    249,254.50x = 295,523,519,830.56
  5. Step 5: Solve for x
    x = 295,523,519,830.56/249,254.50
  6. Step 6: Final answer
    x = 1,185,629.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.