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Finding the Third Proportional to 8,178,722 and 12,382,707

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Solution

The third proportional to 8,178,722 and 12,382,707 is: 18,747,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178,722 : 12,382,707 = 12,382,707 : x
  2. Step 2: Convert to fraction form
    8,178,722/12,382,707 = 12,382,707/x
  3. Step 3: Cross multiply
    8,178,722x = 12,382,707 × 12,382,707
  4. Step 4: Simplify right side
    8,178,722x = 153,331,432,647,849
  5. Step 5: Solve for x
    x = 153,331,432,647,849/8,178,722
  6. Step 6: Final answer
    x = 18,747,602.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.