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Finding the Third Proportional to 221,643 and 474,795

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Solution

The third proportional to 221,643 and 474,795 is: 1,017,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,643 : 474,795 = 474,795 : x
  2. Step 2: Convert to fraction form
    221,643/474,795 = 474,795/x
  3. Step 3: Cross multiply
    221,643x = 474,795 × 474,795
  4. Step 4: Simplify right side
    221,643x = 225,430,292,025
  5. Step 5: Solve for x
    x = 225,430,292,025/221,643
  6. Step 6: Final answer
    x = 1,017,087.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.