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Finding the Third Proportional to 64,551 and 142,638

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Solution

The third proportional to 64,551 and 142,638 is: 315,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,551 : 142,638 = 142,638 : x
  2. Step 2: Convert to fraction form
    64,551/142,638 = 142,638/x
  3. Step 3: Cross multiply
    64,551x = 142,638 × 142,638
  4. Step 4: Simplify right side
    64,551x = 20,345,599,044
  5. Step 5: Solve for x
    x = 20,345,599,044/64,551
  6. Step 6: Final answer
    x = 315,186.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.