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Finding the Third Proportional to 63,240 and 135,765

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Solution

The third proportional to 63,240 and 135,765 is: 291,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,240 : 135,765 = 135,765 : x
  2. Step 2: Convert to fraction form
    63,240/135,765 = 135,765/x
  3. Step 3: Cross multiply
    63,240x = 135,765 × 135,765
  4. Step 4: Simplify right side
    63,240x = 18,432,135,225
  5. Step 5: Solve for x
    x = 18,432,135,225/63,240
  6. Step 6: Final answer
    x = 291,463.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.