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Finding the Third Proportional to 276,520 and 647,524

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Solution

The third proportional to 276,520 and 647,524 is: 1,516,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,520 : 647,524 = 647,524 : x
  2. Step 2: Convert to fraction form
    276,520/647,524 = 647,524/x
  3. Step 3: Cross multiply
    276,520x = 647,524 × 647,524
  4. Step 4: Simplify right side
    276,520x = 419,287,330,576
  5. Step 5: Solve for x
    x = 419,287,330,576/276,520
  6. Step 6: Final answer
    x = 1,516,300.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.