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Finding the Third Proportional to 223,384 and 481,760

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Solution

The third proportional to 223,384 and 481,760 is: 1,038,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,384 : 481,760 = 481,760 : x
  2. Step 2: Convert to fraction form
    223,384/481,760 = 481,760/x
  3. Step 3: Cross multiply
    223,384x = 481,760 × 481,760
  4. Step 4: Simplify right side
    223,384x = 232,092,697,600
  5. Step 5: Solve for x
    x = 232,092,697,600/223,384
  6. Step 6: Final answer
    x = 1,038,985.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.