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Finding the Third Proportional to 88,191 and 133,106.63

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Solution

The third proportional to 88,191 and 133,106.63 is: 200,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,191 : 133,106.63 = 133,106.63 : x
  2. Step 2: Convert to fraction form
    88,191/133,106.63 = 133,106.63/x
  3. Step 3: Cross multiply
    88,191x = 133,106.63 × 133,106.63
  4. Step 4: Simplify right side
    88,191x = 17,717,373,618.89
  5. Step 5: Solve for x
    x = 17,717,373,618.89/88,191
  6. Step 6: Final answer
    x = 200,897.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.