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Finding the Third Proportional to 609,714 and 905,729

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Solution

The third proportional to 609,714 and 905,729 is: 1,345,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,714 : 905,729 = 905,729 : x
  2. Step 2: Convert to fraction form
    609,714/905,729 = 905,729/x
  3. Step 3: Cross multiply
    609,714x = 905,729 × 905,729
  4. Step 4: Simplify right side
    609,714x = 820,345,021,441
  5. Step 5: Solve for x
    x = 820,345,021,441/609,714
  6. Step 6: Final answer
    x = 1,345,458.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.