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Finding the Third Proportional to 64,646 and 138,508

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Solution

The third proportional to 64,646 and 138,508 is: 296,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,646 : 138,508 = 138,508 : x
  2. Step 2: Convert to fraction form
    64,646/138,508 = 138,508/x
  3. Step 3: Cross multiply
    64,646x = 138,508 × 138,508
  4. Step 4: Simplify right side
    64,646x = 19,184,466,064
  5. Step 5: Solve for x
    x = 19,184,466,064/64,646
  6. Step 6: Final answer
    x = 296,761.84

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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.