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Finding the Third Proportional to 63,200 and 138,276

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Solution

The third proportional to 63,200 and 138,276 is: 302,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,200 : 138,276 = 138,276 : x
  2. Step 2: Convert to fraction form
    63,200/138,276 = 138,276/x
  3. Step 3: Cross multiply
    63,200x = 138,276 × 138,276
  4. Step 4: Simplify right side
    63,200x = 19,120,252,176
  5. Step 5: Solve for x
    x = 19,120,252,176/63,200
  6. Step 6: Final answer
    x = 302,535.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.