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Finding the Third Proportional to 154,425 and 230,287

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Solution

The third proportional to 154,425 and 230,287 is: 343,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,425 : 230,287 = 230,287 : x
  2. Step 2: Convert to fraction form
    154,425/230,287 = 230,287/x
  3. Step 3: Cross multiply
    154,425x = 230,287 × 230,287
  4. Step 4: Simplify right side
    154,425x = 53,032,102,369
  5. Step 5: Solve for x
    x = 53,032,102,369/154,425
  6. Step 6: Final answer
    x = 343,416.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.