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Finding the Third Proportional to 64,404 and 140,251

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Solution

The third proportional to 64,404 and 140,251 is: 305,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,404 : 140,251 = 140,251 : x
  2. Step 2: Convert to fraction form
    64,404/140,251 = 140,251/x
  3. Step 3: Cross multiply
    64,404x = 140,251 × 140,251
  4. Step 4: Simplify right side
    64,404x = 19,670,343,001
  5. Step 5: Solve for x
    x = 19,670,343,001/64,404
  6. Step 6: Final answer
    x = 305,421.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.