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Finding the Third Proportional to 30,055 and 69,575

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Solution

The third proportional to 30,055 and 69,575 is: 161,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,055 : 69,575 = 69,575 : x
  2. Step 2: Convert to fraction form
    30,055/69,575 = 69,575/x
  3. Step 3: Cross multiply
    30,055x = 69,575 × 69,575
  4. Step 4: Simplify right side
    30,055x = 4,840,680,625
  5. Step 5: Solve for x
    x = 4,840,680,625/30,055
  6. Step 6: Final answer
    x = 161,060.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.