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Finding the Third Proportional to 63,975 and 135,332

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Solution

The third proportional to 63,975 and 135,332 is: 286,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,975 : 135,332 = 135,332 : x
  2. Step 2: Convert to fraction form
    63,975/135,332 = 135,332/x
  3. Step 3: Cross multiply
    63,975x = 135,332 × 135,332
  4. Step 4: Simplify right side
    63,975x = 18,314,750,224
  5. Step 5: Solve for x
    x = 18,314,750,224/63,975
  6. Step 6: Final answer
    x = 286,279.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.