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Finding the Third Proportional to 64,256 and 136,288

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Solution

The third proportional to 64,256 and 136,288 is: 289,069.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,256 : 136,288 = 136,288 : x
  2. Step 2: Convert to fraction form
    64,256/136,288 = 136,288/x
  3. Step 3: Cross multiply
    64,256x = 136,288 × 136,288
  4. Step 4: Simplify right side
    64,256x = 18,574,418,944
  5. Step 5: Solve for x
    x = 18,574,418,944/64,256
  6. Step 6: Final answer
    x = 289,069.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.