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Finding the Third Proportional to 64,910 and 134,752

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Solution

The third proportional to 64,910 and 134,752 is: 279,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,910 : 134,752 = 134,752 : x
  2. Step 2: Convert to fraction form
    64,910/134,752 = 134,752/x
  3. Step 3: Cross multiply
    64,910x = 134,752 × 134,752
  4. Step 4: Simplify right side
    64,910x = 18,158,101,504
  5. Step 5: Solve for x
    x = 18,158,101,504/64,910
  6. Step 6: Final answer
    x = 279,742.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.