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Finding the Third Proportional to 457,524 and 689,886

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Solution

The third proportional to 457,524 and 689,886 is: 1,040,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,524 : 689,886 = 689,886 : x
  2. Step 2: Convert to fraction form
    457,524/689,886 = 689,886/x
  3. Step 3: Cross multiply
    457,524x = 689,886 × 689,886
  4. Step 4: Simplify right side
    457,524x = 475,942,692,996
  5. Step 5: Solve for x
    x = 475,942,692,996/457,524
  6. Step 6: Final answer
    x = 1,040,257.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.