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Finding the Third Proportional to 64,241 and 140,578

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Solution

The third proportional to 64,241 and 140,578 is: 307,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,241 : 140,578 = 140,578 : x
  2. Step 2: Convert to fraction form
    64,241/140,578 = 140,578/x
  3. Step 3: Cross multiply
    64,241x = 140,578 × 140,578
  4. Step 4: Simplify right side
    64,241x = 19,762,174,084
  5. Step 5: Solve for x
    x = 19,762,174,084/64,241
  6. Step 6: Final answer
    x = 307,625.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.