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Finding the Third Proportional to 230,270 and 306,069

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Solution

The third proportional to 230,270 and 306,069 is: 406,819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,270 : 306,069 = 306,069 : x
  2. Step 2: Convert to fraction form
    230,270/306,069 = 306,069/x
  3. Step 3: Cross multiply
    230,270x = 306,069 × 306,069
  4. Step 4: Simplify right side
    230,270x = 93,678,232,761
  5. Step 5: Solve for x
    x = 93,678,232,761/230,270
  6. Step 6: Final answer
    x = 406,819.09

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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.