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Finding the Third Proportional to 233,313 and 481,344

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Solution

The third proportional to 233,313 and 481,344 is: 993,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,313 : 481,344 = 481,344 : x
  2. Step 2: Convert to fraction form
    233,313/481,344 = 481,344/x
  3. Step 3: Cross multiply
    233,313x = 481,344 × 481,344
  4. Step 4: Simplify right side
    233,313x = 231,692,046,336
  5. Step 5: Solve for x
    x = 231,692,046,336/233,313
  6. Step 6: Final answer
    x = 993,052.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.