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Finding the Third Proportional to 249,439 and 547,170

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Solution

The third proportional to 249,439 and 547,170 is: 1,200,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,439 : 547,170 = 547,170 : x
  2. Step 2: Convert to fraction form
    249,439/547,170 = 547,170/x
  3. Step 3: Cross multiply
    249,439x = 547,170 × 547,170
  4. Step 4: Simplify right side
    249,439x = 299,395,008,900
  5. Step 5: Solve for x
    x = 299,395,008,900/249,439
  6. Step 6: Final answer
    x = 1,200,273.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.