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Finding the Third Proportional to 433,006 and 647,749

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Solution

The third proportional to 433,006 and 647,749 is: 968,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,006 : 647,749 = 647,749 : x
  2. Step 2: Convert to fraction form
    433,006/647,749 = 647,749/x
  3. Step 3: Cross multiply
    433,006x = 647,749 × 647,749
  4. Step 4: Simplify right side
    433,006x = 419,578,767,001
  5. Step 5: Solve for x
    x = 419,578,767,001/433,006
  6. Step 6: Final answer
    x = 968,990.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.