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Finding the Third Proportional to 145,538 and 217,408

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Solution

The third proportional to 145,538 and 217,408 is: 324,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,538 : 217,408 = 217,408 : x
  2. Step 2: Convert to fraction form
    145,538/217,408 = 217,408/x
  3. Step 3: Cross multiply
    145,538x = 217,408 × 217,408
  4. Step 4: Simplify right side
    145,538x = 47,266,238,464
  5. Step 5: Solve for x
    x = 47,266,238,464/145,538
  6. Step 6: Final answer
    x = 324,769.05

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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.