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Finding the Third Proportional to 145,790 and 217,926

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Solution

The third proportional to 145,790 and 217,926 is: 325,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,790 : 217,926 = 217,926 : x
  2. Step 2: Convert to fraction form
    145,790/217,926 = 217,926/x
  3. Step 3: Cross multiply
    145,790x = 217,926 × 217,926
  4. Step 4: Simplify right side
    145,790x = 47,491,741,476
  5. Step 5: Solve for x
    x = 47,491,741,476/145,790
  6. Step 6: Final answer
    x = 325,754.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.