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Finding the Third Proportional to 28,759 and 64,213

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Solution

The third proportional to 28,759 and 64,213 is: 143,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,759 : 64,213 = 64,213 : x
  2. Step 2: Convert to fraction form
    28,759/64,213 = 64,213/x
  3. Step 3: Cross multiply
    28,759x = 64,213 × 64,213
  4. Step 4: Simplify right side
    28,759x = 4,123,309,369
  5. Step 5: Solve for x
    x = 4,123,309,369/28,759
  6. Step 6: Final answer
    x = 143,374.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.