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Finding the Third Proportional to 221,588 and 480,760

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Solution

The third proportional to 221,588 and 480,760 is: 1,043,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,588 : 480,760 = 480,760 : x
  2. Step 2: Convert to fraction form
    221,588/480,760 = 480,760/x
  3. Step 3: Cross multiply
    221,588x = 480,760 × 480,760
  4. Step 4: Simplify right side
    221,588x = 231,130,177,600
  5. Step 5: Solve for x
    x = 231,130,177,600/221,588
  6. Step 6: Final answer
    x = 1,043,062.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.