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Finding the Third Proportional to 291,012 and 425,218

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Solution

The third proportional to 291,012 and 425,218 is: 621,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,012 : 425,218 = 425,218 : x
  2. Step 2: Convert to fraction form
    291,012/425,218 = 425,218/x
  3. Step 3: Cross multiply
    291,012x = 425,218 × 425,218
  4. Step 4: Simplify right side
    291,012x = 180,810,347,524
  5. Step 5: Solve for x
    x = 180,810,347,524/291,012
  6. Step 6: Final answer
    x = 621,315.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.