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Finding the Third Proportional to 64,719 and 132,572

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Solution

The third proportional to 64,719 and 132,572 is: 271,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,719 : 132,572 = 132,572 : x
  2. Step 2: Convert to fraction form
    64,719/132,572 = 132,572/x
  3. Step 3: Cross multiply
    64,719x = 132,572 × 132,572
  4. Step 4: Simplify right side
    64,719x = 17,575,335,184
  5. Step 5: Solve for x
    x = 17,575,335,184/64,719
  6. Step 6: Final answer
    x = 271,563.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.