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Finding the Third Proportional to 229,040 and 356,647

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Solution

The third proportional to 229,040 and 356,647 is: 555,348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,040 : 356,647 = 356,647 : x
  2. Step 2: Convert to fraction form
    229,040/356,647 = 356,647/x
  3. Step 3: Cross multiply
    229,040x = 356,647 × 356,647
  4. Step 4: Simplify right side
    229,040x = 127,197,082,609
  5. Step 5: Solve for x
    x = 127,197,082,609/229,040
  6. Step 6: Final answer
    x = 555,348.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.