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Finding the Third Proportional to 551,118 and 780,048

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Solution

The third proportional to 551,118 and 780,048 is: 1,104,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,118 : 780,048 = 780,048 : x
  2. Step 2: Convert to fraction form
    551,118/780,048 = 780,048/x
  3. Step 3: Cross multiply
    551,118x = 780,048 × 780,048
  4. Step 4: Simplify right side
    551,118x = 608,474,882,304
  5. Step 5: Solve for x
    x = 608,474,882,304/551,118
  6. Step 6: Final answer
    x = 1,104,073.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.