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Finding the Third Proportional to 7,980,212.81 and 12,382,014.38

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Solution

The third proportional to 7,980,212.81 and 12,382,014.38 is: 19,211,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980,212.81 : 12,382,014.38 = 12,382,014.38 : x
  2. Step 2: Convert to fraction form
    7,980,212.81/12,382,014.38 = 12,382,014.38/x
  3. Step 3: Cross multiply
    7,980,212.81x = 12,382,014.38 × 12,382,014.38
  4. Step 4: Simplify right side
    7,980,212.81x = 153,314,279,982,706.62
  5. Step 5: Solve for x
    x = 153,314,279,982,706.62/7,980,212.81
  6. Step 6: Final answer
    x = 19,211,803.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.