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Finding the Third Proportional to 64,904 and 132,880

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Solution

The third proportional to 64,904 and 132,880 is: 272,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,904 : 132,880 = 132,880 : x
  2. Step 2: Convert to fraction form
    64,904/132,880 = 132,880/x
  3. Step 3: Cross multiply
    64,904x = 132,880 × 132,880
  4. Step 4: Simplify right side
    64,904x = 17,657,094,400
  5. Step 5: Solve for x
    x = 17,657,094,400/64,904
  6. Step 6: Final answer
    x = 272,049.40

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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.