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Finding the Third Proportional to 64,638 and 135,594

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Solution

The third proportional to 64,638 and 135,594 is: 284,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,638 : 135,594 = 135,594 : x
  2. Step 2: Convert to fraction form
    64,638/135,594 = 135,594/x
  3. Step 3: Cross multiply
    64,638x = 135,594 × 135,594
  4. Step 4: Simplify right side
    64,638x = 18,385,732,836
  5. Step 5: Solve for x
    x = 18,385,732,836/64,638
  6. Step 6: Final answer
    x = 284,441.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.