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Finding the Third Proportional to 221,405 and 465,116

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Solution

The third proportional to 221,405 and 465,116 is: 977,091.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,405 : 465,116 = 465,116 : x
  2. Step 2: Convert to fraction form
    221,405/465,116 = 465,116/x
  3. Step 3: Cross multiply
    221,405x = 465,116 × 465,116
  4. Step 4: Simplify right side
    221,405x = 216,332,893,456
  5. Step 5: Solve for x
    x = 216,332,893,456/221,405
  6. Step 6: Final answer
    x = 977,091.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.