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Finding the Third Proportional to 578,626 and 889,930

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Solution

The third proportional to 578,626 and 889,930 is: 1,368,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,626 : 889,930 = 889,930 : x
  2. Step 2: Convert to fraction form
    578,626/889,930 = 889,930/x
  3. Step 3: Cross multiply
    578,626x = 889,930 × 889,930
  4. Step 4: Simplify right side
    578,626x = 791,975,404,900
  5. Step 5: Solve for x
    x = 791,975,404,900/578,626
  6. Step 6: Final answer
    x = 1,368,717.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.