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Finding the Third Proportional to 145,188 and 217,782

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Solution

The third proportional to 145,188 and 217,782 is: 326,673

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,188 : 217,782 = 217,782 : x
  2. Step 2: Convert to fraction form
    145,188/217,782 = 217,782/x
  3. Step 3: Cross multiply
    145,188x = 217,782 × 217,782
  4. Step 4: Simplify right side
    145,188x = 47,428,999,524
  5. Step 5: Solve for x
    x = 47,428,999,524/145,188
  6. Step 6: Final answer
    x = 326,673

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.