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Finding the Third Proportional to 64,741 and 138,477

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Solution

The third proportional to 64,741 and 138,477 is: 296,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,741 : 138,477 = 138,477 : x
  2. Step 2: Convert to fraction form
    64,741/138,477 = 138,477/x
  3. Step 3: Cross multiply
    64,741x = 138,477 × 138,477
  4. Step 4: Simplify right side
    64,741x = 19,175,879,529
  5. Step 5: Solve for x
    x = 19,175,879,529/64,741
  6. Step 6: Final answer
    x = 296,193.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.