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Finding the Third Proportional to 64,735 and 138,467

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Solution

The third proportional to 64,735 and 138,467 is: 296,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,735 : 138,467 = 138,467 : x
  2. Step 2: Convert to fraction form
    64,735/138,467 = 138,467/x
  3. Step 3: Cross multiply
    64,735x = 138,467 × 138,467
  4. Step 4: Simplify right side
    64,735x = 19,173,110,089
  5. Step 5: Solve for x
    x = 19,173,110,089/64,735
  6. Step 6: Final answer
    x = 296,178.42

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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.