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Finding the Third Proportional to 43,421 and 64,949

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Solution

The third proportional to 43,421 and 64,949 is: 97,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,421 : 64,949 = 64,949 : x
  2. Step 2: Convert to fraction form
    43,421/64,949 = 64,949/x
  3. Step 3: Cross multiply
    43,421x = 64,949 × 64,949
  4. Step 4: Simplify right side
    43,421x = 4,218,372,601
  5. Step 5: Solve for x
    x = 4,218,372,601/43,421
  6. Step 6: Final answer
    x = 97,150.52

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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.