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Finding the Third Proportional to 64,560 and 138,336

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Solution

The third proportional to 64,560 and 138,336 is: 296,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,560 : 138,336 = 138,336 : x
  2. Step 2: Convert to fraction form
    64,560/138,336 = 138,336/x
  3. Step 3: Cross multiply
    64,560x = 138,336 × 138,336
  4. Step 4: Simplify right side
    64,560x = 19,136,848,896
  5. Step 5: Solve for x
    x = 19,136,848,896/64,560
  6. Step 6: Final answer
    x = 296,419.59

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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.