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Finding the Third Proportional to 249,515 and 541,678

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Solution

The third proportional to 249,515 and 541,678 is: 1,175,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,515 : 541,678 = 541,678 : x
  2. Step 2: Convert to fraction form
    249,515/541,678 = 541,678/x
  3. Step 3: Cross multiply
    249,515x = 541,678 × 541,678
  4. Step 4: Simplify right side
    249,515x = 293,415,055,684
  5. Step 5: Solve for x
    x = 293,415,055,684/249,515
  6. Step 6: Final answer
    x = 1,175,941.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.