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Finding the Third Proportional to 64,398.75 and 138,321

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Solution

The third proportional to 64,398.75 and 138,321 is: 297,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,398.75 : 138,321 = 138,321 : x
  2. Step 2: Convert to fraction form
    64,398.75/138,321 = 138,321/x
  3. Step 3: Cross multiply
    64,398.75x = 138,321 × 138,321
  4. Step 4: Simplify right side
    64,398.75x = 19,132,699,041
  5. Step 5: Solve for x
    x = 19,132,699,041/64,398.75
  6. Step 6: Final answer
    x = 297,097.37

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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.