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Finding the Third Proportional to 409,222 and 899,654

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Solution

The third proportional to 409,222 and 899,654 is: 1,977,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,222 : 899,654 = 899,654 : x
  2. Step 2: Convert to fraction form
    409,222/899,654 = 899,654/x
  3. Step 3: Cross multiply
    409,222x = 899,654 × 899,654
  4. Step 4: Simplify right side
    409,222x = 809,377,319,716
  5. Step 5: Solve for x
    x = 809,377,319,716/409,222
  6. Step 6: Final answer
    x = 1,977,844.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.