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Finding the Third Proportional to 64,521.75 and 138,929.25

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Solution

The third proportional to 64,521.75 and 138,929.25 is: 299,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,521.75 : 138,929.25 = 138,929.25 : x
  2. Step 2: Convert to fraction form
    64,521.75/138,929.25 = 138,929.25/x
  3. Step 3: Cross multiply
    64,521.75x = 138,929.25 × 138,929.25
  4. Step 4: Simplify right side
    64,521.75x = 19,301,336,505.56
  5. Step 5: Solve for x
    x = 19,301,336,505.56/64,521.75
  6. Step 6: Final answer
    x = 299,144.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.