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Finding the Third Proportional to 64,735 and 138,469

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Solution

The third proportional to 64,735 and 138,469 is: 296,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,735 : 138,469 = 138,469 : x
  2. Step 2: Convert to fraction form
    64,735/138,469 = 138,469/x
  3. Step 3: Cross multiply
    64,735x = 138,469 × 138,469
  4. Step 4: Simplify right side
    64,735x = 19,173,663,961
  5. Step 5: Solve for x
    x = 19,173,663,961/64,735
  6. Step 6: Final answer
    x = 296,186.98

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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.