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Finding the Third Proportional to 63,550.50 and 136,275

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Solution

The third proportional to 63,550.50 and 136,275 is: 292,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,550.50 : 136,275 = 136,275 : x
  2. Step 2: Convert to fraction form
    63,550.50/136,275 = 136,275/x
  3. Step 3: Cross multiply
    63,550.50x = 136,275 × 136,275
  4. Step 4: Simplify right side
    63,550.50x = 18,570,875,625
  5. Step 5: Solve for x
    x = 18,570,875,625/63,550.50
  6. Step 6: Final answer
    x = 292,222.34

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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.