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Finding the Third Proportional to 64,514 and 141,772

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Solution

The third proportional to 64,514 and 141,772 is: 311,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,514 : 141,772 = 141,772 : x
  2. Step 2: Convert to fraction form
    64,514/141,772 = 141,772/x
  3. Step 3: Cross multiply
    64,514x = 141,772 × 141,772
  4. Step 4: Simplify right side
    64,514x = 20,099,299,984
  5. Step 5: Solve for x
    x = 20,099,299,984/64,514
  6. Step 6: Final answer
    x = 311,549.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.