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Finding the Third Proportional to 498,911 and 768,051

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Solution

The third proportional to 498,911 and 768,051 is: 1,182,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,911 : 768,051 = 768,051 : x
  2. Step 2: Convert to fraction form
    498,911/768,051 = 768,051/x
  3. Step 3: Cross multiply
    498,911x = 768,051 × 768,051
  4. Step 4: Simplify right side
    498,911x = 589,902,338,601
  5. Step 5: Solve for x
    x = 589,902,338,601/498,911
  6. Step 6: Final answer
    x = 1,182,379.90

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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.