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Finding the Third Proportional to 63,441 and 135,630

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Solution

The third proportional to 63,441 and 135,630 is: 289,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,441 : 135,630 = 135,630 : x
  2. Step 2: Convert to fraction form
    63,441/135,630 = 135,630/x
  3. Step 3: Cross multiply
    63,441x = 135,630 × 135,630
  4. Step 4: Simplify right side
    63,441x = 18,395,496,900
  5. Step 5: Solve for x
    x = 18,395,496,900/63,441
  6. Step 6: Final answer
    x = 289,962.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.