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Finding the Third Proportional to 154,009 and 230,387

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Solution

The third proportional to 154,009 and 230,387 is: 344,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,009 : 230,387 = 230,387 : x
  2. Step 2: Convert to fraction form
    154,009/230,387 = 230,387/x
  3. Step 3: Cross multiply
    154,009x = 230,387 × 230,387
  4. Step 4: Simplify right side
    154,009x = 53,078,169,769
  5. Step 5: Solve for x
    x = 53,078,169,769/154,009
  6. Step 6: Final answer
    x = 344,643.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.