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Finding the Third Proportional to 430,827 and 905,742

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Solution

The third proportional to 430,827 and 905,742 is: 1,904,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,827 : 905,742 = 905,742 : x
  2. Step 2: Convert to fraction form
    430,827/905,742 = 905,742/x
  3. Step 3: Cross multiply
    430,827x = 905,742 × 905,742
  4. Step 4: Simplify right side
    430,827x = 820,368,570,564
  5. Step 5: Solve for x
    x = 820,368,570,564/430,827
  6. Step 6: Final answer
    x = 1,904,171.68

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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.