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Finding the Third Proportional to 498,909 and 768,048

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Solution

The third proportional to 498,909 and 768,048 is: 1,182,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,909 : 768,048 = 768,048 : x
  2. Step 2: Convert to fraction form
    498,909/768,048 = 768,048/x
  3. Step 3: Cross multiply
    498,909x = 768,048 × 768,048
  4. Step 4: Simplify right side
    498,909x = 589,897,730,304
  5. Step 5: Solve for x
    x = 589,897,730,304/498,909
  6. Step 6: Final answer
    x = 1,182,375.40

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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.