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Finding the Third Proportional to 273,062 and 427,413

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Solution

The third proportional to 273,062 and 427,413 is: 669,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,062 : 427,413 = 427,413 : x
  2. Step 2: Convert to fraction form
    273,062/427,413 = 427,413/x
  3. Step 3: Cross multiply
    273,062x = 427,413 × 427,413
  4. Step 4: Simplify right side
    273,062x = 182,681,872,569
  5. Step 5: Solve for x
    x = 182,681,872,569/273,062
  6. Step 6: Final answer
    x = 669,012.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.