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Finding the Third Proportional to 77,170 and 102,421

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Solution

The third proportional to 77,170 and 102,421 is: 135,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,170 : 102,421 = 102,421 : x
  2. Step 2: Convert to fraction form
    77,170/102,421 = 102,421/x
  3. Step 3: Cross multiply
    77,170x = 102,421 × 102,421
  4. Step 4: Simplify right side
    77,170x = 10,490,061,241
  5. Step 5: Solve for x
    x = 10,490,061,241/77,170
  6. Step 6: Final answer
    x = 135,934.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.