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Finding the Third Proportional to 221,645 and 474,799

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Solution

The third proportional to 221,645 and 474,799 is: 1,017,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,645 : 474,799 = 474,799 : x
  2. Step 2: Convert to fraction form
    221,645/474,799 = 474,799/x
  3. Step 3: Cross multiply
    221,645x = 474,799 × 474,799
  4. Step 4: Simplify right side
    221,645x = 225,434,090,401
  5. Step 5: Solve for x
    x = 225,434,090,401/221,645
  6. Step 6: Final answer
    x = 1,017,095.31

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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.