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Finding the Third Proportional to 423,450 and 929,844

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Solution

The third proportional to 423,450 and 929,844 is: 2,041,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,450 : 929,844 = 929,844 : x
  2. Step 2: Convert to fraction form
    423,450/929,844 = 929,844/x
  3. Step 3: Cross multiply
    423,450x = 929,844 × 929,844
  4. Step 4: Simplify right side
    423,450x = 864,609,864,336
  5. Step 5: Solve for x
    x = 864,609,864,336/423,450
  6. Step 6: Final answer
    x = 2,041,822.80

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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.